90966456 has 128 divisors (see below), whose sum is σ = 305856000. Its totient is φ = 24454656.

The previous prime is 90966451. The next prime is 90966467. The reversal of 90966456 is 65466909.

It is a super-2 number, since 2×90966456² = 16549792234399872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90966451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23935 + ... + 27473.

It is an arithmetic number, because the mean of its divisors is an integer number (2389500).

Almost surely, 2^90966456 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 90966456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152928000).

90966456 is an abundant number, since it is smaller than the sum of its proper divisors (214889544).

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

90966456 is a wasteful number, since it uses less digits than its factorization.

90966456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 90966456 is about 9537.6336687881. The cubic root of 90966456 is about 449.7388707215.

The spelling of 90966456 in words is "ninety million, nine hundred sixty-six thousand, four hundred fifty-six".