91146400 has 36 divisors (see below), whose sum is σ = 222513102. Its totient is φ = 36458240.

The previous prime is 91146397. The next prime is 91146421. The reversal of 91146400 is 464119.

It can be written as a sum of positive squares in 3 ways, for example, as 74857104 + 16289296 = 8652^2 + 4036^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56167 + ... + 57766.

Almost surely, 2^91146400 is an apocalyptic number.

It is an amenable number.

91146400 is an abundant number, since it is smaller than the sum of its proper divisors (131366702).

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

91146400 is a wasteful number, since it uses less digits than its factorization.

91146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113953 (or 113940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 91146400 is about 9547.0623754116. The cubic root of 91146400 is about 450.0352235803.

The spelling of 91146400 in words is "ninety-one million, one hundred forty-six thousand, four hundred".