826972416 has 180 divisors, whose sum is σ = 2596902000. Its totient is φ = 261024768.

The previous prime is 826972403. The next prime is 826972423. The reversal of 826972416 is 614279628.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392935 + ... + 395033.

Almost surely, 2^826972416 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 826972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298451000).

826972416 is an abundant number, since it is smaller than the sum of its proper divisors (1769929584).

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

826972416 is a wasteful number, since it uses less digits than its factorization.

826972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2123 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 826972416 is about 28757.1280902666. The cubic root of 826972416 is about 938.6355698778.

The spelling of 826972416 in words is "eight hundred twenty-six million, nine hundred seventy-two thousand, four hundred sixteen".