91452960 has 144 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 23777280.

The previous prime is 91452953. The next prime is 91453003. The reversal of 91452960 is 6925419.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 49617936 = 6468^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58266 + ... + 59814.

Almost surely, 2^91452960 is an apocalyptic number.

91452960 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 91452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

91452960 is an abundant number, since it is smaller than the sum of its proper divisors (228448440).

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

91452960 is a wasteful number, since it uses less digits than its factorization.

91452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 91452960 is about 9563.1040985655. The cubic root of 91452960 is about 450.5392054992.

The spelling of 91452960 in words is "ninety-one million, four hundred fifty-two thousand, nine hundred sixty".