890978616 has 160 divisors (see below), whose sum is σ = 2739052800. Its totient is φ = 268349760.

The previous prime is 890978597. The next prime is 890978633. The reversal of 890978616 is 616879098.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1703331 + ... + 1703853.

It is an arithmetic number, because the mean of its divisors is an integer number (17119080).

Almost surely, 2^890978616 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 890978616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369526400).

890978616 is an abundant number, since it is smaller than the sum of its proper divisors (1848074184).

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

890978616 is a wasteful number, since it uses less digits than its factorization.

890978616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 890978616 is about 29849.2649155720. The cubic root of 890978616 is about 962.2526008548.

The spelling of 890978616 in words is "eight hundred ninety million, nine hundred seventy-eight thousand, six hundred sixteen".