90022464 has 168 divisors, whose sum is σ = 299557440. Its totient is φ = 25316352.

The previous prime is 90022459. The next prime is 90022469. The reversal of 90022464 is 46422009.

It is an interprime number because it is at equal distance from previous prime (90022459) and next prime (90022469).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (90022469) by changing a digit.

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, 334522 + ... + 334790.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^90022464 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 90022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

90022464 is an abundant number, since it is smaller than the sum of its proper divisors (209534976).

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

90022464 is a wasteful number, since it uses less digits than its factorization.

90022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90022464 is about 9488.0168633914. The cubic root of 90022464 is about 448.1777568415.

The spelling of 90022464 in words is "ninety million, twenty-two thousand, four hundred sixty-four".