1067397120 has 156 divisors (see below), whose sum is σ = 3700497216. Its totient is φ = 284590080.

The previous prime is 1067397103. The next prime is 1067397169. The reversal of 1067397120 is 217937601.

It is a happy number.

It is a super-2 number, since 2×1067397120² = 2278673223568588800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181425 + ... + 187215.

It is an arithmetic number, because the mean of its divisors is an integer number (23721136).

Almost surely, 2^1067397120 is an apocalyptic number.

1067397120 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 1067397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850248608).

1067397120 is an abundant number, since it is smaller than the sum of its proper divisors (2633100096).

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

1067397120 is an equidigital number, since it uses as much as digits as its factorization.

1067397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1067397120 is about 32671.0440604521. The cubic root of 1067397120 is about 1021.9790871726.

The spelling of 1067397120 in words is "one billion, sixty-seven million, three hundred ninety-seven thousand, one hundred twenty".