890517408 has 144 divisors (see below), whose sum is σ = 2653394688. Its totient is φ = 261043200.

The previous prime is 890517391. The next prime is 890517457. The reversal of 890517408 is 804715098.

It is a self number, because there is not a number n which added to its sum of digits gives 890517408.

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 23 ways as a sum of consecutive naturals, for example, 358860 + ... + 361332.

It is an arithmetic number, because the mean of its divisors is an integer number (18426352).

Almost surely, 2^890517408 is an apocalyptic number.

890517408 is a gapful number since it is divisible by the number (88) 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 890517408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326697344).

890517408 is an abundant number, since it is smaller than the sum of its proper divisors (1762877280).

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

890517408 is a wasteful number, since it uses less digits than its factorization.

890517408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 890517408 is about 29841.5382981508. The cubic root of 890517408 is about 962.0865380605.

The spelling of 890517408 in words is "eight hundred ninety million, five hundred seventeen thousand, four hundred eight".