890661632 has 216 divisors, whose sum is σ = 2257925040. Its totient is φ = 348364800.

The previous prime is 890661631. The next prime is 890661643. The reversal of 890661632 is 236166098.

It is a self number, because there is not a number n which added to its sum of digits gives 890661632.

It is not an unprimeable number, because it can be changed into a prime (890661631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8818382 + ... + 8818482.

Almost surely, 2^890661632 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 890661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128962520).

890661632 is an abundant number, since it is smaller than the sum of its proper divisors (1367263408).

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

890661632 is a wasteful number, since it uses less digits than its factorization.

890661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 890661632 is about 29843.9546977273. The cubic root of 890661632 is about 962.1384735898.

The spelling of 890661632 in words is "eight hundred ninety million, six hundred sixty-one thousand, six hundred thirty-two".