1179097920 has 672 divisors, whose sum is σ = 5458602240. Its totient is φ = 225607680.

The previous prime is 1179097919. The next prime is 1179097973. The reversal of 1179097920 is 297909711.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2882676 + ... + 2883084.

It is an arithmetic number, because the mean of its divisors is an integer number (8122920).

Almost surely, 2^1179097920 is an apocalyptic number.

1179097920 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 1179097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729301120).

1179097920 is an abundant number, since it is smaller than the sum of its proper divisors (4279504320).

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

1179097920 is a wasteful number, since it uses less digits than its factorization.

1179097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 1179097920 is about 34337.9952821943. The cubic root of 1179097920 is about 1056.4524576258.

The spelling of 1179097920 in words is "one billion, one hundred seventy-nine million, ninety-seven thousand, nine hundred twenty".