92961440 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 29245440.

The previous prime is 92961439. The next prime is 92961461. The reversal of 92961440 is 4416929.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 92961440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388841 + ... + 389079.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^92961440 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 92961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

92961440 is an abundant number, since it is smaller than the sum of its proper divisors (181375840).

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

92961440 is a wasteful number, since it uses less digits than its factorization.

92961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 92961440 is about 9641.6513108492. The cubic root of 92961440 is about 453.0028637289.

The spelling of 92961440 in words is "ninety-two million, nine hundred sixty-one thousand, four hundred forty".