95901600 has 144 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 24729600.

The previous prime is 95901593. The next prime is 95901643. The reversal of 95901600 is 610959.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73756 + ... + 75044.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440).

Almost surely, 2^95901600 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 95901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

95901600 is an abundant number, since it is smaller than the sum of its proper divisors (226577760).

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

95901600 is a wasteful number, since it uses less digits than its factorization.

95901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 95901600 is about 9792.9362297525. The cubic root of 95901600 is about 457.7291992593.

The spelling of 95901600 in words is "ninety-five million, nine hundred one thousand, six hundred".