1079512920 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 263264256.

The previous prime is 1079512877. The next prime is 1079512921. The reversal of 1079512920 is 292159701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079512921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7766211 + ... + 7766349.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^1079512920 is an apocalyptic number.

1079512920 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 1079512920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1079512920 is an abundant number, since it is smaller than the sum of its proper divisors (2883136680).

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

1079512920 is a wasteful number, since it uses less digits than its factorization.

1079512920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1079512920 is about 32855.9419283636. The cubic root of 1079512920 is about 1025.8313049824.

The spelling of 1079512920 in words is "one billion, seventy-nine million, five hundred twelve thousand, nine hundred twenty".