90724140 has 144 divisors (see below), whose sum is σ = 299583648. Its totient is φ = 22090752.

The previous prime is 90724129. The next prime is 90724157. The reversal of 90724140 is 4142709.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320439 + ... + 320721.

It is an arithmetic number, because the mean of its divisors is an integer number (2080442).

Almost surely, 2^90724140 is an apocalyptic number.

90724140 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 90724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149791824).

90724140 is an abundant number, since it is smaller than the sum of its proper divisors (208859508).

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

90724140 is a wasteful number, since it uses less digits than its factorization.

90724140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 90724140 is about 9524.9220469251. The cubic root of 90724140 is about 449.3391782111.

Adding to 90724140 its reverse (4142709), we get a palindrome (94866849).

The spelling of 90724140 in words is "ninety million, seven hundred twenty-four thousand, one hundred forty".