96126264 has 80 divisors (see below), whose sum is σ = 289978920. Its totient is φ = 29574720.

The previous prime is 96126253. The next prime is 96126299. The reversal of 96126264 is 46262169.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2719 + ... + 14129.

Almost surely, 2^96126264 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 96126264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144989460).

96126264 is an abundant number, since it is smaller than the sum of its proper divisors (193852656).

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

96126264 is a wasteful number, since it uses less digits than its factorization.

96126264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11429 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 96126264 is about 9804.4002366284. The cubic root of 96126264 is about 458.0863537968.

It can be divided in two parts, 9612 and 6264, that added together give a square (15876 = 126²).

The spelling of 96126264 in words is "ninety-six million, one hundred twenty-six thousand, two hundred sixty-four".