1167678720 has 576 divisors, whose sum is σ = 4697602560. Its totient is φ = 272498688.

The previous prime is 1167678713. The next prime is 1167678731. The reversal of 1167678720 is 278767611.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10333384 + ... + 10333496.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^1167678720 is an apocalyptic number.

1167678720 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 1167678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348801280).

1167678720 is an abundant number, since it is smaller than the sum of its proper divisors (3529923840).

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

1167678720 is a wasteful number, since it uses less digits than its factorization.

1167678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1167678720 is about 34171.3142855232. The cubic root of 1167678720 is about 1053.0309160491.

The spelling of 1167678720 in words is "one billion, one hundred sixty-seven million, six hundred seventy-eight thousand, seven hundred twenty".