91952640 has 240 divisors, whose sum is σ = 344071728. Its totient is φ = 22560768.

The previous prime is 91952639. The next prime is 91952657. The reversal of 91952640 is 4625919.

91952640 is a `hidden beast` number, since 9 + 1 + 9 + 5 + 2 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 91952595 and 91952604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 299367 + ... + 299673.

Almost surely, 2^91952640 is an apocalyptic number.

91952640 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 91952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172035864).

91952640 is an abundant number, since it is smaller than the sum of its proper divisors (252119088).

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

91952640 is a wasteful number, since it uses less digits than its factorization.

91952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

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

The square root of 91952640 is about 9589.1939181560. The cubic root of 91952640 is about 451.3582664947.

The spelling of 91952640 in words is "ninety-one million, nine hundred fifty-two thousand, six hundred forty".