95600400 has 240 divisors, whose sum is σ = 369024000. Its totient is φ = 20666880.

The previous prime is 95600389. The next prime is 95600411. The reversal of 95600400 is 400659.

It is an interprime number because it is at equal distance from previous prime (95600389) and next prime (95600411).

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159301 + ... + 159899.

It is an arithmetic number, because the mean of its divisors is an integer number (1537600).

Almost surely, 2^95600400 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 95600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512000).

95600400 is an abundant number, since it is smaller than the sum of its proper divisors (273423600).

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

95600400 is a wasteful number, since it uses less digits than its factorization.

95600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 95600400 is about 9777.5457043166. The cubic root of 95600400 is about 457.2494970711.

The spelling of 95600400 in words is "ninety-five million, six hundred thousand, four hundred".