90714960 has 240 divisors, whose sum is σ = 357477120. Its totient is φ = 20183040.

The previous prime is 90714947. The next prime is 90714971. The reversal of 90714960 is 6941709.

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 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 47 ways as a sum of consecutive naturals, for example, 206421 + ... + 206859.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^90714960 is an apocalyptic number.

90714960 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 90714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

90714960 is an abundant number, since it is smaller than the sum of its proper divisors (266762160).

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

90714960 is a wasteful number, since it uses less digits than its factorization.

90714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90714960 is about 9524.4401410267. The cubic root of 90714960 is about 449.3240221097.

The spelling of 90714960 in words is "ninety million, seven hundred fourteen thousand, nine hundred sixty".