95867640 has 192 divisors, whose sum is σ = 348416640. Its totient is φ = 22659840.

The previous prime is 95867633. The next prime is 95867669. The reversal of 95867640 is 4676859.

95867640 is a `hidden beast` number, since 9 + 586 + 7 + 64 + 0 = 666.

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

It is a congruent number.

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, 169999 + ... + 170561.

It is an arithmetic number, because the mean of its divisors is an integer number (1814670).

Almost surely, 2^95867640 is an apocalyptic number.

95867640 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 95867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174208320).

95867640 is an abundant number, since it is smaller than the sum of its proper divisors (252549000).

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

95867640 is a wasteful number, since it uses less digits than its factorization.

95867640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 95867640 is about 9791.2021733799. The cubic root of 95867640 is about 457.6751635991.

The spelling of 95867640 in words is "ninety-five million, eight hundred sixty-seven thousand, six hundred forty".