1197561800 has 36 divisors (see below), whose sum is σ = 2785469505. Its totient is φ = 478828960.

The previous prime is 1197561727. The next prime is 1197561803. The reversal of 1197561800 is 81657911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1173610564 + 23951236 = 34258^2 + 4894^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24470.

It is not an unprimeable number, because it can be changed into a prime (1197561803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488177 + ... + 490623.

Almost surely, 2^1197561800 is an apocalyptic number.

1197561800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1197561800 is an abundant number, since it is smaller than the sum of its proper divisors (1587907705).

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

1197561800 is an frugal number, since it uses more digits than its factorization.

With its predecessor (1197561799) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2454).

1197561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 38.

The square root of 1197561800 is about 34605.8058712696. The cubic root of 1197561800 is about 1061.9383661504.

The spelling of 1197561800 in words is "one billion, one hundred ninety-seven million, five hundred sixty-one thousand, eight hundred".