890670000 has 200 divisors, whose sum is σ = 3137745600. Its totient is φ = 215840000.

The previous prime is 890669993. The next prime is 890670043. The reversal of 890670000 is 76098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 890670000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328651 + ... + 331349.

It is an arithmetic number, because the mean of its divisors is an integer number (15688728).

Almost surely, 2^890670000 is an apocalyptic number.

890670000 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 890670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568872800).

890670000 is an abundant number, since it is smaller than the sum of its proper divisors (2247075600).

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

890670000 is a wasteful number, since it uses less digits than its factorization.

890670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 890670000 is about 29844.0948932951. The cubic root of 890670000 is about 962.1414867616.

The spelling of 890670000 in words is "eight hundred ninety million, six hundred seventy thousand".