95652144 has 160 divisors (see below), whose sum is σ = 320931840. Its totient is φ = 26707968.

The previous prime is 95652133. The next prime is 95652169. The reversal of 95652144 is 44125659.

95652144 = T₁₆₀ + T₁₆₁ + ... + T₈₃₂.

95652144 is a `hidden beast` number, since 95 + 6 + 521 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 95652099 and 95652108.

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, 141792 + ... + 142464.

It is an arithmetic number, because the mean of its divisors is an integer number (2005824).

Almost surely, 2^95652144 is an apocalyptic number.

95652144 is a gapful number since it is divisible by the number (94) 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 95652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160465920).

95652144 is an abundant number, since it is smaller than the sum of its proper divisors (225279696).

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

95652144 is a wasteful number, since it uses less digits than its factorization.

95652144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 95652144 is about 9780.1914091699. The cubic root of 95652144 is about 457.3319780739.

The spelling of 95652144 in words is "ninety-five million, six hundred fifty-two thousand, one hundred forty-four".