95213664 has 288 divisors, whose sum is σ = 349907040. Its totient is φ = 24966144.

The previous prime is 95213663. The next prime is 95213683. The reversal of 95213664 is 46631259.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95213663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550282 + ... + 550454.

It is an arithmetic number, because the mean of its divisors is an integer number (1214955).

Almost surely, 2^95213664 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 95213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953520).

95213664 is an abundant number, since it is smaller than the sum of its proper divisors (254693376).

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

95213664 is a wasteful number, since it uses less digits than its factorization.

95213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 95213664 is about 9757.7489207296. The cubic root of 95213664 is about 456.6320874119.

The spelling of 95213664 in words is "ninety-five million, two hundred thirteen thousand, six hundred sixty-four".