95764032 has 420 divisors, whose sum is σ = 367885980. Its totient is φ = 24385536.

The previous prime is 95764007. The next prime is 95764063. The reversal of 95764032 is 23046759.

95764032 is a `hidden beast` number, since 9 + 5 + 7 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 65028096 = 5544^2 + 8064^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302194 + ... + 3302222.

It is an arithmetic number, because the mean of its divisors is an integer number (875919).

Almost surely, 2^95764032 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 95764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942990).

95764032 is an abundant number, since it is smaller than the sum of its proper divisors (272121948).

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

95764032 is a wasteful number, since it uses less digits than its factorization.

95764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 95764032 is about 9785.9098708296. The cubic root of 95764032 is about 457.5102282045.

The spelling of 95764032 in words is "ninety-five million, seven hundred sixty-four thousand, thirty-two".