90425664 has 168 divisors, whose sum is σ = 303995328. Its totient is φ = 25159680.

The previous prime is 90425663. The next prime is 90425747. The reversal of 90425664 is 46652409.

90425664 is a `hidden beast` number, since 90 + 4 + 2 + 566 + 4 = 666.

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

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 (90425663) 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, 165039 + ... + 165585.

It is an arithmetic number, because the mean of its divisors is an integer number (1809496).

Almost surely, 2^90425664 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 90425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151997664).

90425664 is an abundant number, since it is smaller than the sum of its proper divisors (213569664).

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

90425664 is a wasteful number, since it uses less digits than its factorization.

90425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 90425664 is about 9509.2409791739. The cubic root of 90425664 is about 448.8458721355.

It can be divided in two parts, 9042 and 5664, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 90425664 in words is "ninety million, four hundred twenty-five thousand, six hundred sixty-four".