826961016 has 128 divisors (see below), whose sum is σ = 2496960000. Its totient is φ = 222953472.

The previous prime is 826960999. The next prime is 826961027. The reversal of 826961016 is 610169628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432920 + ... + 1433496.

It is an arithmetic number, because the mean of its divisors is an integer number (19507500).

Almost surely, 2^826961016 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 826961016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248480000).

826961016 is an abundant number, since it is smaller than the sum of its proper divisors (1669998984).

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

826961016 is a wasteful number, since it uses less digits than its factorization.

826961016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 826961016 is about 28756.9298778573. The cubic root of 826961016 is about 938.6312567574.

The spelling of 826961016 in words is "eight hundred twenty-six million, nine hundred sixty-one thousand, sixteen".