1067960832 has 80 divisors (see below), whose sum is σ = 2862272160. Its totient is φ = 353841152.

The previous prime is 1067960827. The next prime is 1067960867. The reversal of 1067960832 is 2380697601.

It is a happy number.

1067960832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1067960832² = 2281080677372264448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263719 + ... + 267737.

It is an arithmetic number, because the mean of its divisors is an integer number (35778402).

Almost surely, 2^1067960832 is an apocalyptic number.

1067960832 is a gapful number since it is divisible by the number (12) 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 1067960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431136080).

1067960832 is an abundant number, since it is smaller than the sum of its proper divisors (1794311328).

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

1067960832 is an equidigital number, since it uses as much as digits as its factorization.

1067960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1067960832 is about 32679.6700105739. The cubic root of 1067960832 is about 1022.1589641454.

The spelling of 1067960832 in words is "one billion, sixty-seven million, nine hundred sixty thousand, eight hundred thirty-two".