96733032 has 128 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 27568640.

The previous prime is 96732997. The next prime is 96733081. The reversal of 96733032 is 23033769.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 96732984 and 96733002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540319 + ... + 540497.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 2^96733032 is an apocalyptic number.

96733032 is a gapful number since it is divisible by the number (92) 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 96733032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

96733032 is an abundant number, since it is smaller than the sum of its proper divisors (183202968).

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

96733032 is a wasteful number, since it uses less digits than its factorization.

96733032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 96733032 is about 9835.2952167182. The cubic root of 96733032 is about 459.0481767916.

The spelling of 96733032 in words is "ninety-six million, seven hundred thirty-three thousand, thirty-two".