96889632 has 96 divisors (see below), whose sum is σ = 300109824. Its totient is φ = 26784000.

The previous prime is 96889631. The next prime is 96889649. The reversal of 96889632 is 23698869.

96889632 = 1209² + 1210² + ... + 1271².

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (96889631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18507 + ... + 23157.

It is an arithmetic number, because the mean of its divisors is an integer number (3126144).

Almost surely, 2^96889632 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 96889632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150054912).

96889632 is an abundant number, since it is smaller than the sum of its proper divisors (203220192).

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

96889632 is a wasteful number, since it uses less digits than its factorization.

96889632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4694 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 96889632 is about 9843.2531207929. The cubic root of 96889632 is about 459.2957591859.

The spelling of 96889632 in words is "ninety-six million, eight hundred eighty-nine thousand, six hundred thirty-two".