95927940 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 21762048.

The previous prime is 95927899. The next prime is 95927971. The reversal of 95927940 is 4972959.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2040997 + ... + 2041043.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^95927940 is an apocalyptic number.

95927940 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 95927940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

95927940 is an abundant number, since it is smaller than the sum of its proper divisors (243727740).

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

95927940 is a wasteful number, since it uses less digits than its factorization.

95927940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 95927940 is about 9794.2809843296. The cubic root of 95927940 is about 457.7711015267.

The spelling of 95927940 in words is "ninety-five million, nine hundred twenty-seven thousand, nine hundred forty".