1067291160 has 128 divisors (see below), whose sum is σ = 3456552960. Its totient is φ = 262080000.

The previous prime is 1067291153. The next prime is 1067291167. The reversal of 1067291160 is 611927601.

It is an interprime number because it is at equal distance from previous prime (1067291153) and next prime (1067291167).

It is a super-2 number, since 2×1067291160² = 2278220840428291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067291167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171105 + ... + 1172015.

It is an arithmetic number, because the mean of its divisors is an integer number (27004320).

Almost surely, 2^1067291160 is an apocalyptic number.

1067291160 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 1067291160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728276480).

1067291160 is an abundant number, since it is smaller than the sum of its proper divisors (2389261800).

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

1067291160 is a wasteful number, since it uses less digits than its factorization.

1067291160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1067291160 is about 32669.4224007710. The cubic root of 1067291160 is about 1021.9452689290.

The spelling of 1067291160 in words is "one billion, sixty-seven million, two hundred ninety-one thousand, one hundred sixty".