1167300720 has 300 divisors, whose sum is σ = 4287393000. Its totient is φ = 294306048.

The previous prime is 1167300703. The next prime is 1167300727. The reversal of 1167300720 is 270037611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167300727) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2339031 + ... + 2339529.

It is an arithmetic number, because the mean of its divisors is an integer number (14291310).

Almost surely, 2^1167300720 is an apocalyptic number.

1167300720 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 1167300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143696500).

1167300720 is an abundant number, since it is smaller than the sum of its proper divisors (3120092280).

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

1167300720 is a wasteful number, since it uses less digits than its factorization.

1167300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1167300720 is about 34165.7828828786. The cubic root of 1167300720 is about 1052.9172750168.

The spelling of 1167300720 in words is "one billion, one hundred sixty-seven million, three hundred thousand, seven hundred twenty".