920596512 has 192 divisors, whose sum is σ = 2939328000. Its totient is φ = 248647680.

The previous prime is 920596499. The next prime is 920596541. The reversal of 920596512 is 215695029.

It is a super-2 number, since 2×920596512² = 1694995875813132288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339739 + ... + 342437.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^920596512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920596512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

920596512 is an abundant number, since it is smaller than the sum of its proper divisors (2018731488).

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

920596512 is a wasteful number, since it uses less digits than its factorization.

920596512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 920596512 is about 30341.3333919259. Note that the first 4 decimals coincide. The cubic root of 920596512 is about 972.7989840313.

The spelling of 920596512 in words is "nine hundred twenty million, five hundred ninety-six thousand, five hundred twelve".