90556280 has 128 divisors (see below), whose sum is σ = 233798400. Its totient is φ = 31352832.

The previous prime is 90556217. The next prime is 90556283. The reversal of 90556280 is 8265509.

90556280 = T₁ + T₂ + ... + T₈₁₅.

90556280 is a nontrivial binomial coefficient, being equal to C(817, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 90556280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90556283) by changing a digit.

It is the 815-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555479 + ... + 555641.

It is an arithmetic number, because the mean of its divisors is an integer number (1826550).

Almost surely, 2^90556280 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 90556280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899200).

90556280 is an abundant number, since it is smaller than the sum of its proper divisors (143242120).

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

90556280 is a wasteful number, since it uses less digits than its factorization.

90556280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 90556280 is about 9516.1063466105. The cubic root of 90556280 is about 449.0618810451.

The spelling of 90556280 in words is "ninety million, five hundred fifty-six thousand, two hundred eighty".