1820628576 has 240 divisors, whose sum is σ = 5855195808. Its totient is φ = 551577600.

The previous prime is 1820628571. The next prime is 1820628577. The reversal of 1820628576 is 6758260281.

1820628576 is a `hidden beast` number, since 18 + 2 + 0 + 62 + 8 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820628571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2392036 + ... + 2392796.

Almost surely, 2^1820628576 is an apocalyptic number.

1820628576 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 1820628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927597904).

1820628576 is an abundant number, since it is smaller than the sum of its proper divisors (4034567232).

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

1820628576 is a wasteful number, since it uses less digits than its factorization.

1820628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1820628576 is about 42668.8244037728. The cubic root of 1820628576 is about 1221.0696915832.

The spelling of 1820628576 in words is "one billion, eight hundred twenty million, six hundred twenty-eight thousand, five hundred seventy-six".