1167904440 has 128 divisors (see below), whose sum is σ = 3901536000. Its totient is φ = 310760064.

The previous prime is 1167904429. The next prime is 1167904499. The reversal of 1167904440 is 444097611.

1167904440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1167904395 and 1167904404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667647 + ... + 669393.

It is an arithmetic number, because the mean of its divisors is an integer number (30480750).

Almost surely, 2^1167904440 is an apocalyptic number.

1167904440 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 1167904440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950768000).

1167904440 is an abundant number, since it is smaller than the sum of its proper divisors (2733631560).

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

1167904440 is a wasteful number, since it uses less digits than its factorization.

1167904440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1167904440 is about 34174.6168961702. The cubic root of 1167904440 is about 1053.0987642852.

The spelling of 1167904440 in words is "one billion, one hundred sixty-seven million, nine hundred four thousand, four hundred forty".