90142580 has 54 divisors (see below), whose sum is σ = 209156598. Its totient is φ = 32609280.

The previous prime is 90142579. The next prime is 90142597. The reversal of 90142580 is 8524109.

It can be written as a sum of positive squares in 3 ways, for example, as 234256 + 89908324 = 484^2 + 9482^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 466964 + ... + 467156.

Almost surely, 2^90142580 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 90142580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104578299).

90142580 is an abundant number, since it is smaller than the sum of its proper divisors (119014018).

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

90142580 is a wasteful number, since it uses less digits than its factorization.

90142580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 90142580 is about 9494.3446324641. The cubic root of 90142580 is about 448.3770011623.

Multiplying 90142580 by its product of nonzero digits (2880), we get a square (259610630400 = 509520²).

Adding to 90142580 its reverse (8524109), we get a palindrome (98666689).

The spelling of 90142580 in words is "ninety million, one hundred forty-two thousand, five hundred eighty".