95383680 has 256 divisors, whose sum is σ = 357212160. Its totient is φ = 21196800.

The previous prime is 95383661. The next prime is 95383709. The reversal of 95383680 is 8638359.

95383680 = 366² + 367² + ... + 694².

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 31 ways as a sum of consecutive naturals, for example, 631605 + ... + 631755.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 2^95383680 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 95383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

95383680 is an abundant number, since it is smaller than the sum of its proper divisors (261828480).

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

95383680 is a wasteful number, since it uses less digits than its factorization.

95383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 95383680 is about 9766.4568805683. The cubic root of 95383680 is about 456.9037171851.

The spelling of 95383680 in words is "ninety-five million, three hundred eighty-three thousand, six hundred eighty".