95296400 has 60 divisors (see below), whose sum is σ = 241018800. Its totient is φ = 36109440.

The previous prime is 95296393. The next prime is 95296427. The reversal of 95296400 is 469259.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (4016980).

Almost surely, 2^95296400 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 95296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120509400).

95296400 is an abundant number, since it is smaller than the sum of its proper divisors (145722400).

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

95296400 is a wasteful number, since it uses less digits than its factorization.

95296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 95296400 is about 9761.9875025530. The cubic root of 95296400 is about 456.7643127429.

The spelling of 95296400 in words is "ninety-five million, two hundred ninety-six thousand, four hundred".