95415936 has 192 divisors, whose sum is σ = 322328160. Its totient is φ = 24729600.

The previous prime is 95415911. The next prime is 95415941. The reversal of 95415936 is 63951459.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 206746 + ... + 207206.

Almost surely, 2^95415936 is an apocalyptic number.

95415936 is a gapful number since it is divisible by the number (96) 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 95415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164080).

95415936 is an abundant number, since it is smaller than the sum of its proper divisors (226912224).

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

95415936 is a wasteful number, since it uses less digits than its factorization.

95415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 95415936 is about 9768.1081075099. The cubic root of 95415936 is about 456.9552152517.

The spelling of 95415936 in words is "ninety-five million, four hundred fifteen thousand, nine hundred thirty-six".