95813520 has 80 divisors (see below), whose sum is σ = 324032832. Its totient is φ = 23226880.

The previous prime is 95813483. The next prime is 95813521. The reversal of 95813520 is 2531859.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×95813520² = 18360461229580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (95813521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15507 + ... + 20786.

Almost surely, 2^95813520 is an apocalyptic number.

It is an amenable number.

95813520 is an abundant number, since it is smaller than the sum of its proper divisors (228219312).

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

95813520 is a wasteful number, since it uses less digits than its factorization.

95813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36320 (or 36314 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 95813520 is about 9788.4380776506. The cubic root of 95813520 is about 457.5890238536.

The spelling of 95813520 in words is "ninety-five million, eight hundred thirteen thousand, five hundred twenty".