813526140 has 96 divisors (see below), whose sum is σ = 2613993984. Its totient is φ = 185184000.

The previous prime is 813526111. The next prime is 813526151. The reversal of 813526140 is 41625318.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 813526098 and 813526107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101562 + ... + 109278.

It is an arithmetic number, because the mean of its divisors is an integer number (27229104).

Almost surely, 2^813526140 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 813526140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306996992).

813526140 is an abundant number, since it is smaller than the sum of its proper divisors (1800467844).

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

813526140 is a wasteful number, since it uses less digits than its factorization.

813526140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 813526140 is about 28522.3796342451. The cubic root of 813526140 is about 933.5204525623.

The spelling of 813526140 in words is "eight hundred thirteen million, five hundred twenty-six thousand, one hundred forty".