1820607792 has 160 divisors (see below), whose sum is σ = 5227379712. Its totient is φ = 543485952.

The previous prime is 1820607787. The next prime is 1820607847. The reversal of 1820607792 is 2977060281.

It is a super-2 number, since 2×1820607792² = 6629225464582230528, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1418383 + ... + 1419665.

Almost surely, 2^1820607792 is an apocalyptic number.

1820607792 is a gapful number since it is divisible by the number (12) 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 1820607792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613689856).

1820607792 is an abundant number, since it is smaller than the sum of its proper divisors (3406771920).

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

1820607792 is a wasteful number, since it uses less digits than its factorization.

1820607792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1820607792 is about 42668.5808528946. The cubic root of 1820607792 is about 1221.0650450545.

The spelling of 1820607792 in words is "one billion, eight hundred twenty million, six hundred seven thousand, seven hundred ninety-two".