90279840 has 192 divisors, whose sum is σ = 329543424. Its totient is φ = 20348928.

The previous prime is 90279799. The next prime is 90279851. The reversal of 90279840 is 4897209.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325782 + ... + 326058.

It is an arithmetic number, because the mean of its divisors is an integer number (1716372).

Almost surely, 2^90279840 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 90279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164771712).

90279840 is an abundant number, since it is smaller than the sum of its proper divisors (239263584).

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

90279840 is a wasteful number, since it uses less digits than its factorization.

90279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 90279840 is about 9501.5703965187. The cubic root of 90279840 is about 448.6044667907.

It can be divided in two parts, 90279 and 840, that added together give a palindrome (91119).

The spelling of 90279840 in words is "ninety million, two hundred seventy-nine thousand, eight hundred forty".