1167258432 has 112 divisors (see below), whose sum is σ = 3166091712. Its totient is φ = 379392000.

The previous prime is 1167258413. The next prime is 1167258481. The reversal of 1167258432 is 2348527611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553948 + ... + 2554404.

It is an arithmetic number, because the mean of its divisors is an integer number (28268676).

Almost surely, 2^1167258432 is an apocalyptic number.

1167258432 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 1167258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583045856).

1167258432 is an abundant number, since it is smaller than the sum of its proper divisors (1998833280).

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

1167258432 is a wasteful number, since it uses less digits than its factorization.

1167258432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1167258432 is about 34165.1640124850. The cubic root of 1167258432 is about 1052.9045601260.

The spelling of 1167258432 in words is "one billion, one hundred sixty-seven million, two hundred fifty-eight thousand, four hundred thirty-two".