90054000 has 120 divisors (see below), whose sum is σ = 314591472. Its totient is φ = 24009600.

The previous prime is 90053983. The next prime is 90054011. The reversal of 90054000 is 45009.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15499 + ... + 20501.

Almost surely, 2^90054000 is an apocalyptic number.

90054000 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 90054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157295736).

90054000 is an abundant number, since it is smaller than the sum of its proper divisors (224537472).

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

90054000 is a wasteful number, since it uses less digits than its factorization.

90054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90054000 is about 9489.6786036198. The cubic root of 90054000 is about 448.2300848310.

Adding to 90054000 its reverse (45009), we get a palindrome (90099009).

The spelling of 90054000 in words is "ninety million, fifty-four thousand".