90744864 has 144 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 25536000.

The previous prime is 90744859. The next prime is 90744869. The reversal of 90744864 is 46844709.

It is an interprime number because it is at equal distance from previous prime (90744859) and next prime (90744869).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90744869) 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, 475009 + ... + 475199.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^90744864 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 90744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

90744864 is an abundant number, since it is smaller than the sum of its proper divisors (190559712).

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

90744864 is a wasteful number, since it uses less digits than its factorization.

90744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 90744864 is about 9526.0098677253. The cubic root of 90744864 is about 449.3733895987.

The spelling of 90744864 in words is "ninety million, seven hundred forty-four thousand, eight hundred sixty-four".