95961600 has 540 divisors, whose sum is σ = 422987994. Its totient is φ = 20643840.

The previous prime is 95961587. The next prime is 95961623. The reversal of 95961600 is 616959.

95961600 is a `hidden beast` number, since 9 + 596 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82301184 + 13660416 = 9072^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644792 + ... + 5644808.

Almost surely, 2^95961600 is an apocalyptic number.

95961600 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 95961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211493997).

95961600 is an abundant number, since it is smaller than the sum of its proper divisors (327026394).

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

95961600 is a wasteful number, since it uses less digits than its factorization.

95961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 95961600 is about 9795.9991833401. Note that the first 3 decimals coincide. The cubic root of 95961600 is about 457.8246374531.

The spelling of 95961600 in words is "ninety-five million, nine hundred sixty-one thousand, six hundred".