813297024 has 160 divisors (see below), whose sum is σ = 2473336800. Its totient is φ = 265171968.

The previous prime is 813297011. The next prime is 813297029. The reversal of 813297024 is 420792318.

It is a super-2 number, since 2×813297024² = 1322904098494513152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 813297024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813297029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 486462 + ... + 488130.

It is an arithmetic number, because the mean of its divisors is an integer number (15458355).

Almost surely, 2^813297024 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 813297024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236668400).

813297024 is an abundant number, since it is smaller than the sum of its proper divisors (1660039776).

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

813297024 is a wasteful number, since it uses less digits than its factorization.

813297024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 813297024 is about 28518.3629263673. The cubic root of 813297024 is about 933.4328075383.

The spelling of 813297024 in words is "eight hundred thirteen million, two hundred ninety-seven thousand, twenty-four".