95364864 has 252 divisors, whose sum is σ = 330645616. Its totient is φ = 26873856.

The previous prime is 95364859. The next prime is 95364869. The reversal of 95364864 is 46846359.

It is an interprime number because it is at equal distance from previous prime (95364859) and next prime (95364869).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95364869) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306332 + ... + 1306404.

Almost surely, 2^95364864 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 95364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322808).

95364864 is an abundant number, since it is smaller than the sum of its proper divisors (235280752).

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

95364864 is an frugal number, since it uses more digits than its factorization.

95364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 95364864 is about 9765.4935359151. The cubic root of 95364864 is about 456.8736712845.

It can be divided in two parts, 9536 and 4864, that added together give a square (14400 = 120²).

The spelling of 95364864 in words is "ninety-five million, three hundred sixty-four thousand, eight hundred sixty-four".