1972826856 has 384 divisors, whose sum is σ = 7413719040. Its totient is φ = 457228800.

The previous prime is 1972826831. The next prime is 1972826941. The reversal of 1972826856 is 6586282791.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2233791 + ... + 2234673.

It is an arithmetic number, because the mean of its divisors is an integer number (19306560).

Almost surely, 2^1972826856 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 1972826856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706859520).

1972826856 is an abundant number, since it is smaller than the sum of its proper divisors (5440892184).

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

1972826856 is a wasteful number, since it uses less digits than its factorization.

1972826856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1972826856 is about 44416.5155769788. The cubic root of 1972826856 is about 1254.1890086966.

It can be divided in two parts, 1972 and 826856, that added together give a palindrome (828828).

The spelling of 1972826856 in words is "one billion, nine hundred seventy-two million, eight hundred twenty-six thousand, eight hundred fifty-six".