95921280 has 512 divisors, whose sum is σ = 424972800. Its totient is φ = 19906560.

The previous prime is 95921237. The next prime is 95921297. The reversal of 95921280 is 8212959.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572450 + ... + 1572510.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^95921280 is an apocalyptic number.

95921280 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 95921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

95921280 is an abundant number, since it is smaller than the sum of its proper divisors (329051520).

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

95921280 is a wasteful number, since it uses less digits than its factorization.

95921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 95921280 is about 9793.9409840983. The cubic root of 95921280 is about 457.7605073727.

The spelling of 95921280 in words is "ninety-five million, nine hundred twenty-one thousand, two hundred eighty".