1197006720 has 768 divisors, whose sum is σ = 5160775680. Its totient is φ = 230031360.

The previous prime is 1197006719. The next prime is 1197006761. The reversal of 1197006720 is 276007911.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38613105 + ... + 38613135.

It is an arithmetic number, because the mean of its divisors is an integer number (6719760).

Almost surely, 2^1197006720 is an apocalyptic number.

1197006720 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 1197006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580387840).

1197006720 is an abundant number, since it is smaller than the sum of its proper divisors (3963768960).

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

1197006720 is a wasteful number, since it uses less digits than its factorization.

1197006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 1197006720 is about 34597.7849001927. The cubic root of 1197006720 is about 1061.7742683295.

The spelling of 1197006720 in words is "one billion, one hundred ninety-seven million, six thousand, seven hundred twenty".