815260992 has 224 divisors, whose sum is σ = 2748076800. Its totient is φ = 207470592.

The previous prime is 815260969. The next prime is 815261009. The reversal of 815260992 is 299062518.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505884 + ... + 507492.

It is an arithmetic number, because the mean of its divisors is an integer number (12268200).

Almost surely, 2^815260992 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 815260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374038400).

815260992 is an abundant number, since it is smaller than the sum of its proper divisors (1932815808).

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

815260992 is a wasteful number, since it uses less digits than its factorization.

815260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 815260992 is about 28552.7755568526. The cubic root of 815260992 is about 934.1835617495.

The spelling of 815260992 in words is "eight hundred fifteen million, two hundred sixty thousand, nine hundred ninety-two".