91854400 has 168 divisors, whose sum is σ = 261920736. Its totient is φ = 31334400.

The previous prime is 91854337. The next prime is 91854431. The reversal of 91854400 is 445819.

It is a happy 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, 299047 + ... + 299353.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^91854400 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 91854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368).

91854400 is an abundant number, since it is smaller than the sum of its proper divisors (170066336).

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

91854400 is a wasteful number, since it uses less digits than its factorization.

91854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 91854400 is about 9584.0701166049. The cubic root of 91854400 is about 451.1974690937.

The spelling of 91854400 in words is "ninety-one million, eight hundred fifty-four thousand, four hundred".