91626480 has 240 divisors, whose sum is σ = 350977536. Its totient is φ = 21204480.

The previous prime is 91626449. The next prime is 91626487. The reversal of 91626480 is 8462619.

91626480 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91626487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181909 + ... + 182411.

Almost surely, 2^91626480 is an apocalyptic number.

91626480 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 91626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

91626480 is an abundant number, since it is smaller than the sum of its proper divisors (259351056).

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

91626480 is a wasteful number, since it uses less digits than its factorization.

91626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 91626480 is about 9572.1721672774. The cubic root of 91626480 is about 450.8239718282.

The spelling of 91626480 in words is "ninety-one million, six hundred twenty-six thousand, four hundred eighty".