95932080 has 160 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 24456960.

The previous prime is 95932079. The next prime is 95932091. The reversal of 95932080 is 8023959.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48715 + ... + 50645.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 2^95932080 is an apocalyptic number.

95932080 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 95932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

95932080 is an abundant number, since it is smaller than the sum of its proper divisors (249045840).

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

95932080 is a wasteful number, since it uses less digits than its factorization.

95932080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 95932080 is about 9794.4923298760. The cubic root of 95932080 is about 457.7776868347. Note that the first 3 decimals are identical.

The spelling of 95932080 in words is "ninety-five million, nine hundred thirty-two thousand, eighty".