90864000 has 192 divisors, whose sum is σ = 326832480. Its totient is φ = 24192000.

The previous prime is 90863987. The next prime is 90864013. The reversal of 90864000 is 46809.

It is an interprime number because it is at equal distance from previous prime (90863987) and next prime (90864013).

It is a tau number, because it is divible by the number of its divisors (192).

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, 143685 + ... + 144315.

Almost surely, 2^90864000 is an apocalyptic number.

90864000 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 90864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163416240).

90864000 is an abundant number, since it is smaller than the sum of its proper divisors (235968480).

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

90864000 is a wasteful number, since it uses less digits than its factorization.

90864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90864000 is about 9532.2610119530. The cubic root of 90864000 is about 449.5699595351.

The spelling of 90864000 in words is "ninety million, eight hundred sixty-four thousand".