1072680840 has 256 divisors, whose sum is σ = 4458240000. Its totient is φ = 222877440.

The previous prime is 1072680803. The next prime is 1072680857. The reversal of 1072680840 is 480862701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1072680795 and 1072680804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76711 + ... + 89609.

It is an arithmetic number, because the mean of its divisors is an integer number (17415000).

Almost surely, 2^1072680840 is an apocalyptic number.

1072680840 is a gapful number since it is divisible by the number (10) 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 1072680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229120000).

1072680840 is an abundant number, since it is smaller than the sum of its proper divisors (3385559160).

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

1072680840 is a wasteful number, since it uses less digits than its factorization.

1072680840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12937 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072680840 is about 32751.8066677245. The cubic root of 1072680840 is about 1023.6626111186.

The spelling of 1072680840 in words is "one billion, seventy-two million, six hundred eighty thousand, eight hundred forty".