91472640 has 288 divisors, whose sum is σ = 346139136. Its totient is φ = 20152320.

The previous prime is 91472609. The next prime is 91472651. The reversal of 91472640 is 4627419.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102039 + ... + 1102121.

It is an arithmetic number, because the mean of its divisors is an integer number (1201872).

Almost surely, 2^91472640 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 91472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069568).

91472640 is an abundant number, since it is smaller than the sum of its proper divisors (254666496).

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

91472640 is a wasteful number, since it uses less digits than its factorization.

91472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 91472640 is about 9564.1329978206. The cubic root of 91472640 is about 450.5715207486.

The spelling of 91472640 in words is "ninety-one million, four hundred seventy-two thousand, six hundred forty".