1167416520 has 256 divisors, whose sum is σ = 3919104000. Its totient is φ = 276688896.

The previous prime is 1167416477. The next prime is 1167416521. The reversal of 1167416520 is 256147611.

It is a super-2 number, since 2×1167416520² = 2725722662337820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1167416521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6521791 + ... + 6521969.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^1167416520 is an apocalyptic number.

1167416520 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 1167416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959552000).

1167416520 is an abundant number, since it is smaller than the sum of its proper divisors (2751687480).

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

1167416520 is a wasteful number, since it uses less digits than its factorization.

1167416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1167416520 is about 34167.4775188336. The cubic root of 1167416520 is about 1052.9520914631.

The spelling of 1167416520 in words is "one billion, one hundred sixty-seven million, four hundred sixteen thousand, five hundred twenty".