815962560 has 448 divisors, whose sum is σ = 3160166400. Its totient is φ = 174440448.

The previous prime is 815962529. The next prime is 815962571. The reversal of 815962560 is 65269518.

It is a tau number, because it is divible by the number of its divisors (448).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10328601 + ... + 10328679.

Almost surely, 2^815962560 is an apocalyptic number.

815962560 is a gapful number since it is divisible by the number (80) 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 815962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580083200).

815962560 is an abundant number, since it is smaller than the sum of its proper divisors (2344203840).

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

815962560 is a wasteful number, since it uses less digits than its factorization.

815962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 815962560 is about 28565.0583755749. The cubic root of 815962560 is about 934.4514536234.

The spelling of 815962560 in words is "eight hundred fifteen million, nine hundred sixty-two thousand, five hundred sixty".