95579640 has 144 divisors (see below), whose sum is σ = 336580920. Its totient is φ = 23512320.

The previous prime is 95579639. The next prime is 95579641. The reversal of 95579640 is 4697559.

It is a happy number.

95579640 is a `hidden beast` number, since 9 + 557 + 96 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95579639) and next prime (95579641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95579641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60055 + ... + 61625.

Almost surely, 2^95579640 is an apocalyptic number.

95579640 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 95579640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168290460).

95579640 is an abundant number, since it is smaller than the sum of its proper divisors (241001280).

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

95579640 is a wasteful number, since it uses less digits than its factorization.

95579640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 95579640 is about 9776.4840305705. The cubic root of 95579640 is about 457.2163968373.

The spelling of 95579640 in words is "ninety-five million, five hundred seventy-nine thousand, six hundred forty".