890646240 has 384 divisors, whose sum is σ = 3243276288. Its totient is φ = 203489280.

The previous prime is 890646221. The next prime is 890646271. The reversal of 890646240 is 42646098.

It is a super-2 number, since 2×890646240² = 1586501449652275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9181872 + ... + 9181968.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2^890646240 is an apocalyptic number.

890646240 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 890646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

890646240 is an abundant number, since it is smaller than the sum of its proper divisors (2352630048).

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

890646240 is a wasteful number, since it uses less digits than its factorization.

890646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 890646240 is about 29843.6968219422. The cubic root of 890646240 is about 962.1329311480.

The spelling of 890646240 in words is "eight hundred ninety million, six hundred forty-six thousand, two hundred forty".