91642600 has 96 divisors (see below), whose sum is σ = 247394880. Its totient is φ = 30919680.

The previous prime is 91642583. The next prime is 91642601. The reversal of 91642600 is 624619.

It is a super-2 number, since 2×91642600² = 16796732269520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91642601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93312 + ... + 94288.

It is an arithmetic number, because the mean of its divisors is an integer number (2577030).

Almost surely, 2^91642600 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 91642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123697440).

91642600 is an abundant number, since it is smaller than the sum of its proper divisors (155752280).

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

91642600 is a wasteful number, since it uses less digits than its factorization.

91642600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 91642600 is about 9573.0141543821. The cubic root of 91642600 is about 450.8504083500.

The spelling of 91642600 in words is "ninety-one million, six hundred forty-two thousand, six hundred".