90954720 has 144 divisors (see below), whose sum is σ = 314535312. Its totient is φ = 23930880.

The previous prime is 90954697. The next prime is 90954727. The reversal of 90954720 is 2745909.

90954720 is a `hidden beast` number, since 90 + 9 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×90954720² = 16545522180556800, which contains 22 as substring.

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 (90954727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119140 + ... + 119900.

It is an arithmetic number, because the mean of its divisors is an integer number (2184273).

Almost surely, 2^90954720 is an apocalyptic number.

90954720 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 90954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267656).

90954720 is an abundant number, since it is smaller than the sum of its proper divisors (223580592).

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

90954720 is a wasteful number, since it uses less digits than its factorization.

90954720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90954720 is about 9537.0184019955. The cubic root of 90954720 is about 449.7195289311.

The spelling of 90954720 in words is "ninety million, nine hundred fifty-four thousand, seven hundred twenty".