90080640 has 256 divisors, whose sum is σ = 344433600. Its totient is φ = 22118400.

The previous prime is 90080633. The next prime is 90080659. The reversal of 90080640 is 4608009.

It is a super-2 number, since 2×90080640² = 16229043405619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224440 + ... + 224840.

Almost surely, 2^90080640 is an apocalyptic number.

90080640 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 90080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216800).

90080640 is an abundant number, since it is smaller than the sum of its proper divisors (254352960).

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

90080640 is a wasteful number, since it uses less digits than its factorization.

90080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90080640 is about 9491.0821300840. The cubic root of 90080640 is about 448.2742793224.

Adding to 90080640 its reverse (4608009), we get a palindrome (94688649).

The spelling of 90080640 in words is "ninety million, eighty thousand, six hundred forty".