91887600 has 120 divisors (see below), whose sum is σ = 336426880. Its totient is φ = 21000960.

The previous prime is 91887589. The next prime is 91887611. The reversal of 91887600 is 678819.

It is an interprime number because it is at equal distance from previous prime (91887589) and next prime (91887611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2931 + ... + 13869.

Almost surely, 2^91887600 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 91887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168213440).

91887600 is an abundant number, since it is smaller than the sum of its proper divisors (244539280).

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

91887600 is a wasteful number, since it uses less digits than its factorization.

91887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 91887600 is about 9585.8020008761. The cubic root of 91887600 is about 451.2518230552.

The spelling of 91887600 in words is "ninety-one million, eight hundred eighty-seven thousand, six hundred".