890313648 has 80 divisors (see below), whose sum is σ = 2642497536. Its totient is φ = 253025280.

The previous prime is 890313637. The next prime is 890313673. The reversal of 890313648 is 846313098.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 57240 + ... + 71112.

Almost surely, 2^890313648 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 890313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321248768).

890313648 is an abundant number, since it is smaller than the sum of its proper divisors (1752183888).

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

890313648 is a wasteful number, since it uses less digits than its factorization.

890313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 890313648 is about 29838.1240697199. The cubic root of 890313648 is about 962.0131538666.

The spelling of 890313648 in words is "eight hundred ninety million, three hundred thirteen thousand, six hundred forty-eight".