95879280 has 240 divisors, whose sum is σ = 358262784. Its totient is φ = 21127680.

The previous prime is 95879261. The next prime is 95879291. The reversal of 95879280 is 8297859.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364429 + ... + 364691.

Almost surely, 2^95879280 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 95879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

95879280 is an abundant number, since it is smaller than the sum of its proper divisors (262383504).

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

95879280 is a wasteful number, since it uses less digits than its factorization.

95879280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 95879280 is about 9791.7965665142. The cubic root of 95879280 is about 457.6936860929.

The spelling of 95879280 in words is "ninety-five million, eight hundred seventy-nine thousand, two hundred eighty".