90539280 has 240 divisors, whose sum is σ = 347321520. Its totient is φ = 20938752.

The previous prime is 90539279. The next prime is 90539287. The reversal of 90539280 is 8293509.

It can be written as a sum of positive squares in 8 ways, for example, as 8020224 + 82519056 = 2832^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×90539280² = 16394722445836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90539287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158836 + ... + 159404.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2^90539280 is an apocalyptic number.

90539280 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 90539280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

90539280 is an abundant number, since it is smaller than the sum of its proper divisors (256782240).

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

90539280 is a wasteful number, since it uses less digits than its factorization.

90539280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90539280 is about 9515.2130822173. The cubic root of 90539280 is about 449.0337787065.

The spelling of 90539280 in words is "ninety million, five hundred thirty-nine thousand, two hundred eighty".