95978520 has 160 divisors (see below), whose sum is σ = 352051920. Its totient is φ = 23258880.

The previous prime is 95978513. The next prime is 95978521. The reversal of 95978520 is 2587959.

It is a happy number.

95978520 is a `hidden beast` number, since 9 + 59 + 78 + 520 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95978521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34294 + ... + 36986.

Almost surely, 2^95978520 is an apocalyptic number.

95978520 is a gapful number since it is divisible by the number (90) 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 95978520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176025960).

95978520 is an abundant number, since it is smaller than the sum of its proper divisors (256073400).

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

95978520 is a wasteful number, since it uses less digits than its factorization.

95978520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 95978520 is about 9796.8627631503. The cubic root of 95978520 is about 457.8515438324.

It can be divided in two parts, 959785 and 20, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 95978520 in words is "ninety-five million, nine hundred seventy-eight thousand, five hundred twenty".