96852624 has 80 divisors (see below), whose sum is σ = 278178624. Its totient is φ = 28787200.

The previous prime is 96852607. The next prime is 96852631. The reversal of 96852624 is 42625869.

96852624 = T₁₃₄₉ + T₁₃₅₀ + ... + T₁₄₄₇.

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 15 ways as a sum of consecutive naturals, for example, 26254 + ... + 29714.

Almost surely, 2^96852624 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 96852624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139089312).

96852624 is an abundant number, since it is smaller than the sum of its proper divisors (181326000).

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

96852624 is a wasteful number, since it uses less digits than its factorization.

96852624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3530 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 96852624 is about 9841.3730749322. The cubic root of 96852624 is about 459.2372741457.

The spelling of 96852624 in words is "ninety-six million, eight hundred fifty-two thousand, six hundred twenty-four".