95610564 has 192 divisors, whose sum is σ = 302400000. Its totient is φ = 26078976.

The previous prime is 95610551. The next prime is 95610577. The reversal of 95610564 is 46501659.

95610564 is a `hidden beast` number, since 95 + 6 + 1 + 0 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (95610551) and next prime (95610577).

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

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, 1074232 + ... + 1074320.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 2^95610564 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 95610564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

95610564 is an abundant number, since it is smaller than the sum of its proper divisors (206789436).

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

95610564 is a wasteful number, since it uses less digits than its factorization.

95610564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95610564 is about 9778.0654528388. The cubic root of 95610564 is about 457.2657010451.

The spelling of 95610564 in words is "ninety-five million, six hundred ten thousand, five hundred sixty-four".