1197504000 has 960 divisors, whose sum is σ = 5576643072. Its totient is φ = 248832000.

The previous prime is 1197503999. The next prime is 1197504017. The reversal of 1197504000 is 4057911.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863995 + ... + 108864005.

Almost surely, 2^1197504000 is an apocalyptic number.

1197504000 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 1197504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788321536).

1197504000 is an abundant number, since it is smaller than the sum of its proper divisors (4379139072).

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

1197504000 is an frugal number, since it uses more digits than its factorization.

1197504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1197504000 is about 34604.9707412100. The cubic root of 1197504000 is about 1061.9212811517.

The spelling of 1197504000 in words is "one billion, one hundred ninety-seven million, five hundred four thousand".