90444600 has 144 divisors (see below), whose sum is σ = 315162120. Its totient is φ = 24105600.

The previous prime is 90444593. The next prime is 90444619. The reversal of 90444600 is 644409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 47670 + ... + 49530.

Almost surely, 2^90444600 is an apocalyptic number.

90444600 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 90444600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157581060).

90444600 is an abundant number, since it is smaller than the sum of its proper divisors (224717520).

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

90444600 is a wasteful number, since it uses less digits than its factorization.

90444600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1871 counting only the distinct ones).

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

The square root of 90444600 is about 9510.2365901170. The cubic root of 90444600 is about 448.8772008234.

The spelling of 90444600 in words is "ninety million, four hundred forty-four thousand, six hundred".