96632000 has 112 divisors (see below), whose sum is σ = 245351808. Its totient is φ = 37683200.

The previous prime is 96631999. The next prime is 96632009. The reversal of 96632000 is 23669.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (96632009) 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, 375872 + ... + 376128.

Almost surely, 2^96632000 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 96632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675904).

96632000 is an abundant number, since it is smaller than the sum of its proper divisors (148719808).

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

96632000 is a wasteful number, since it uses less digits than its factorization.

96632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 96632000 is about 9830.1576793050. The cubic root of 96632000 is about 458.8883047865. Note that the first 3 decimals are identical.

Adding to 96632000 its reverse (23669), we get a palindrome (96655669).

The spelling of 96632000 in words is "ninety-six million, six hundred thirty-two thousand".