95121936 has 360 divisors, whose sum is σ = 358898904. Its totient is φ = 23224320.

The previous prime is 95121911. The next prime is 95121959. The reversal of 95121936 is 63912159.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 94945536 = 420^2 + 9744^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 95121936.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1559346 + ... + 1559406.

Almost surely, 2^95121936 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 95121936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179449452).

95121936 is an abundant number, since it is smaller than the sum of its proper divisors (263776968).

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

95121936 is a wasteful number, since it uses less digits than its factorization.

95121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

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

The square root of 95121936 is about 9753.0475237230. The cubic root of 95121936 is about 456.4854018614.

The spelling of 95121936 in words is "ninety-five million, one hundred twenty-one thousand, nine hundred thirty-six".