1072916920 has 64 divisors (see below), whose sum is σ = 2578871520. Its totient is φ = 400318464.

The previous prime is 1072916917. The next prime is 1072916921. The reversal of 1072916920 is 296192701.

It is a self number, because there is not a number n which added to its sum of digits gives 1072916920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072916921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69859 + ... + 83821.

Almost surely, 2^1072916920 is an apocalyptic number.

1072916920 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 1072916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289435760).

1072916920 is an abundant number, since it is smaller than the sum of its proper divisors (1505954600).

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

1072916920 is a wasteful number, since it uses less digits than its factorization.

1072916920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 1072916920 is about 32755.4105454351. The cubic root of 1072916920 is about 1023.7377028990.

The spelling of 1072916920 in words is "one billion, seventy-two million, nine hundred sixteen thousand, nine hundred twenty".