90430800 has 120 divisors (see below), whose sum is σ = 291990240. Its totient is φ = 23923200.

The previous prime is 90430793. The next prime is 90430811. The reversal of 90430800 is 803409.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 214590 + ... + 215010.

It is an arithmetic number, because the mean of its divisors is an integer number (2433252).

Almost surely, 2^90430800 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 90430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995120).

90430800 is an abundant number, since it is smaller than the sum of its proper divisors (201559440).

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

90430800 is a wasteful number, since it uses less digits than its factorization.

90430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90430800 is about 9509.5110284388. The cubic root of 90430800 is about 448.8543698290.

The spelling of 90430800 in words is "ninety million, four hundred thirty thousand, eight hundred".