90810720 has 720 divisors, whose sum is σ = 437987088. Its totient is φ = 17418240.

The previous prime is 90810703. The next prime is 90810743. The reversal of 90810720 is 2701809.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6985434 + ... + 6985446.

Almost surely, 2^90810720 is an apocalyptic number.

90810720 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 90810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544).

90810720 is an abundant number, since it is smaller than the sum of its proper divisors (347176368).

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

90810720 is a wasteful number, since it uses less digits than its factorization.

90810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 90810720 is about 9529.4658821993. The cubic root of 90810720 is about 449.4820707828.

It can be divided in two parts, 908 and 10720, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 90810720 in words is "ninety million, eight hundred ten thousand, seven hundred twenty".