91641600 has 324 divisors, whose sum is σ = 344319976. Its totient is φ = 23224320.

The previous prime is 91641547. The next prime is 91641607. The reversal of 91641600 is 614619.

91641600 is a `hidden beast` number, since 9 + 16 + 41 + 600 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91641607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131179 + ... + 2131221.

Almost surely, 2^91641600 is an apocalyptic number.

91641600 is a gapful number since it is divisible by the number (90) 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 91641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172159988).

91641600 is an abundant number, since it is smaller than the sum of its proper divisors (252678376).

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

91641600 is a wasteful number, since it uses less digits than its factorization.

91641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 91641600 is about 9572.9619240860. The cubic root of 91641600 is about 450.8487684574.

The spelling of 91641600 in words is "ninety-one million, six hundred forty-one thousand, six hundred".