96532920 has 192 divisors, whose sum is σ = 360547200. Its totient is φ = 22152960.

The previous prime is 96532913. The next prime is 96532921. The reversal of 96532920 is 2923569.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96532921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74599 + ... + 75881.

It is an arithmetic number, because the mean of its divisors is an integer number (1877850).

Almost surely, 2^96532920 is an apocalyptic number.

96532920 is a gapful number since it is divisible by the number (90) 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 96532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180273600).

96532920 is an abundant number, since it is smaller than the sum of its proper divisors (264014280).

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

96532920 is a wasteful number, since it uses less digits than its factorization.

96532920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 96532920 is about 9825.1167931989. The cubic root of 96532920 is about 458.7314133441.

The spelling of 96532920 in words is "ninety-six million, five hundred thirty-two thousand, nine hundred twenty".