890940960 has 432 divisors, whose sum is σ = 3769706304. Its totient is φ = 187619328.

The previous prime is 890940923. The next prime is 890940979. The reversal of 890940960 is 69049098.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703259 + ... + 1703781.

It is an arithmetic number, because the mean of its divisors is an integer number (8726172).

Almost surely, 2^890940960 is an apocalyptic number.

890940960 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 890940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884853152).

890940960 is an abundant number, since it is smaller than the sum of its proper divisors (2878765344).

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

890940960 is a wasteful number, since it uses less digits than its factorization.

890940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 890940960 is about 29848.6341396051. The cubic root of 890940960 is about 962.2390445644.

The spelling of 890940960 in words is "eight hundred ninety million, nine hundred forty thousand, nine hundred sixty".