95863680 has 384 divisors, whose sum is σ = 386661600. Its totient is φ = 21626880.

The previous prime is 95863661. The next prime is 95863711. The reversal of 95863680 is 8636859.

95863680 is a `hidden beast` number, since 9 + 5 + 8 + 636 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 9791²-1.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1077076 + ... + 1077164.

Almost surely, 2^95863680 is an apocalyptic number.

95863680 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 95863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193330800).

95863680 is an abundant number, since it is smaller than the sum of its proper divisors (290797920).

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

95863680 is a wasteful number, since it uses less digits than its factorization.

95863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 95863680 is about 9790.9999489327. Note that the first 4 decimals coincide. The cubic root of 95863680 is about 457.6688617903.

The spelling of 95863680 in words is "ninety-five million, eight hundred sixty-three thousand, six hundred eighty".