90642400 has 72 divisors (see below), whose sum is σ = 228969720. Its totient is φ = 34997760.

The previous prime is 90642397. The next prime is 90642403. The reversal of 90642400 is 424609.

It is an interprime number because it is at equal distance from previous prime (90642397) and next prime (90642403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90642403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21247 + ... + 25153.

It is an arithmetic number, because the mean of its divisors is an integer number (3180135).

Almost surely, 2^90642400 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 90642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114484860).

90642400 is an abundant number, since it is smaller than the sum of its proper divisors (138327320).

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

90642400 is a wasteful number, since it uses less digits than its factorization.

90642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 90642400 is about 9520.6302312399. The cubic root of 90642400 is about 449.2041901746.

The spelling of 90642400 in words is "ninety million, six hundred forty-two thousand, four hundred".