890886240 has 72 divisors (see below), whose sum is σ = 3040154208. Its totient is φ = 237569280.

The previous prime is 890886229. The next prime is 890886247. The reversal of 890886240 is 42688098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890886247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 307896 + ... + 310775.

It is an arithmetic number, because the mean of its divisors is an integer number (42224364).

Almost surely, 2^890886240 is an apocalyptic number.

890886240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890886240 is an abundant number, since it is smaller than the sum of its proper divisors (2149267968).

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

890886240 is a wasteful number, since it uses less digits than its factorization.

890886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618692 (or 618681 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 890886240 is about 29847.7175006733. The cubic root of 890886240 is about 962.2193444942.

The spelling of 890886240 in words is "eight hundred ninety million, eight hundred eighty-six thousand, two hundred forty".