96871032 has 256 divisors, whose sum is σ = 315187200. Its totient is φ = 27371520.

The previous prime is 96871031. The next prime is 96871039. The reversal of 96871032 is 23017869.

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 (96871031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618118 + ... + 2618154.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^96871032 is an apocalyptic number.

96871032 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 96871032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

96871032 is an abundant number, since it is smaller than the sum of its proper divisors (218316168).

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

96871032 is a wasteful number, since it uses less digits than its factorization.

96871032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96871032 is about 9842.3082658490. The cubic root of 96871032 is about 459.2663668155.

The spelling of 96871032 in words is "ninety-six million, eight hundred seventy-one thousand, thirty-two".