95418960 has 320 divisors, whose sum is σ = 386975232. Its totient is φ = 18874368.

The previous prime is 95418937. The next prime is 95418971. The reversal of 95418960 is 6981459.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a congruent number.

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, 371152 + ... + 371408.

Almost surely, 2^95418960 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 95418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193487616).

95418960 is an abundant number, since it is smaller than the sum of its proper divisors (291556272).

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

95418960 is a wasteful number, since it uses less digits than its factorization.

95418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95418960 is about 9768.2628957251. The cubic root of 95418960 is about 456.9600426004.

The spelling of 95418960 in words is "ninety-five million, four hundred eighteen thousand, nine hundred sixty".