1820497536 has 384 divisors, whose sum is σ = 6322155840. Its totient is φ = 495452160.

The previous prime is 1820497517. The next prime is 1820497543. The reversal of 1820497536 is 6357940281.

1820497536 is a `hidden beast` number, since 1 + 8 + 20 + 4 + 97 + 536 = 666.

1820497536 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1820497536² = 6628422557164142592, which contains 22 as substring.

1820497536 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1820497491 and 1820497500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7083520 + ... + 7083776.

It is a 1-persistent number, because it is pandigital, but 2⋅1820497536 = 3640995072 is not.

Almost surely, 2^1820497536 is an apocalyptic number.

1820497536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820497536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161077920).

1820497536 is an abundant number, since it is smaller than the sum of its proper divisors (4501658304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1820497536 is a wasteful number, since it uses less digits than its factorization.

1820497536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1820497536 is about 42667.2888287972. The cubic root of 1820497536 is about 1221.0403953256.

The spelling of 1820497536 in words is "one billion, eight hundred twenty million, four hundred ninety-seven thousand, five hundred thirty-six".