890577408 has 160 divisors (see below), whose sum is σ = 2739217536. Its totient is φ = 251854848.

The previous prime is 890577407. The next prime is 890577421. The reversal of 890577408 is 804775098.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890577407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214610 + ... + 1215342.

Almost surely, 2^890577408 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 890577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369608768).

890577408 is an abundant number, since it is smaller than the sum of its proper divisors (1848640128).

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

890577408 is a wasteful number, since it uses less digits than its factorization.

890577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 890577408 is about 29842.5435913228. The cubic root of 890577408 is about 962.1081449358.

The spelling of 890577408 in words is "eight hundred ninety million, five hundred seventy-seven thousand, four hundred eight".