90626400 has 216 divisors, whose sum is σ = 328432104. Its totient is φ = 23500800.

The previous prime is 90626383. The next prime is 90626407. The reversal of 90626400 is 462609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90626407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295047 + ... + 295353.

It is an arithmetic number, because the mean of its divisors is an integer number (1520519).

Almost surely, 2^90626400 is an apocalyptic number.

90626400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164216052).

90626400 is an abundant number, since it is smaller than the sum of its proper divisors (237805704).

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

90626400 is a wasteful number, since it uses less digits than its factorization.

90626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90626400 is about 9519.7899136483. The cubic root of 90626400 is about 449.1777577692.

The spelling of 90626400 in words is "ninety million, six hundred twenty-six thousand, four hundred".