91642400 has 36 divisors (see below), whose sum is σ = 223723962. Its totient is φ = 36656640.

The previous prime is 91642387. The next prime is 91642409. The reversal of 91642400 is 424619.

It can be written as a sum of positive squares in 3 ways, for example, as 44142736 + 47499664 = 6644^2 + 6892^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 91642400.

It is not an unprimeable number, because it can be changed into a prime (91642409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56477 + ... + 58076.

Almost surely, 2^91642400 is an apocalyptic number.

It is an amenable number.

91642400 is an abundant number, since it is smaller than the sum of its proper divisors (132081562).

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

91642400 is a wasteful number, since it uses less digits than its factorization.

91642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114573 (or 114560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 91642400 is about 9573.0037083457. The cubic root of 91642400 is about 450.8500803724.

The spelling of 91642400 in words is "ninety-one million, six hundred forty-two thousand, four hundred".