95861920 has 192 divisors, whose sum is σ = 292626432. Its totient is φ = 28800000.

The previous prime is 95861881. The next prime is 95861933. The reversal of 95861920 is 2916859.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381795 + ... + 382045.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2^95861920 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 95861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

95861920 is an abundant number, since it is smaller than the sum of its proper divisors (196764512).

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

95861920 is a wasteful number, since it uses less digits than its factorization.

95861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 95861920 is about 9790.9100700599. The cubic root of 95861920 is about 457.6660609307. Note that the first 3 decimals are identical.

The spelling of 95861920 in words is "ninety-five million, eight hundred sixty-one thousand, nine hundred twenty".