890976240 has 480 divisors, whose sum is σ = 3863086080. Its totient is φ = 184757760.

The previous prime is 890976221. The next prime is 890976263. The reversal of 890976240 is 42679098.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829277 + ... + 1829763.

It is an arithmetic number, because the mean of its divisors is an integer number (8048096).

Almost surely, 2^890976240 is an apocalyptic number.

890976240 is a gapful number since it is divisible by the number (80) 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 890976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931543040).

890976240 is an abundant number, since it is smaller than the sum of its proper divisors (2972109840).

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

890976240 is a wasteful number, since it uses less digits than its factorization.

890976240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 890976240 is about 29849.2251155704. The cubic root of 890976240 is about 962.2517454978.

The spelling of 890976240 in words is "eight hundred ninety million, nine hundred seventy-six thousand, two hundred forty".