1172011680 has 240 divisors, whose sum is σ = 4727479680. Its totient is φ = 267867648.

The previous prime is 1172011663. The next prime is 1172011681. The reversal of 1172011680 is 861102711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1172011680² = 2747222756112844800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1172011681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84261 + ... + 97179.

It is an arithmetic number, because the mean of its divisors is an integer number (19697832).

Almost surely, 2^1172011680 is an apocalyptic number.

1172011680 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 1172011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363739840).

1172011680 is an abundant number, since it is smaller than the sum of its proper divisors (3555468000).

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

1172011680 is a wasteful number, since it uses less digits than its factorization.

1172011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12953 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1172011680 is about 34234.6561250438. The cubic root of 1172011680 is about 1054.3318186121.

The spelling of 1172011680 in words is "one billion, one hundred seventy-two million, eleven thousand, six hundred eighty".