95692320 has 192 divisors, whose sum is σ = 354896640. Its totient is φ = 23998464.

The previous prime is 95692307. The next prime is 95692321. The reversal of 95692320 is 2329659.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95692321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72789 + ... + 74091.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 2^95692320 is an apocalyptic number.

95692320 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 95692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177448320).

95692320 is an abundant number, since it is smaller than the sum of its proper divisors (259204320).

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

95692320 is a wasteful number, since it uses less digits than its factorization.

95692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 95692320 is about 9782.2451410706. The cubic root of 95692320 is about 457.3959989344.

The spelling of 95692320 in words is "ninety-five million, six hundred ninety-two thousand, three hundred twenty".