1186720000 has 90 divisors (see below), whose sum is σ = 2960457038. Its totient is φ = 474624000.

The previous prime is 1186719997. The next prime is 1186720001. The reversal of 1186720000 is 276811.

It can be written as a sum of positive squares in 5 ways, for example, as 279023616 + 907696384 = 16704^2 + 30128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186720001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156292 + ... + 163708.

Almost surely, 2^1186720000 is an apocalyptic number.

1186720000 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 1186720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480228519).

1186720000 is an abundant number, since it is smaller than the sum of its proper divisors (1773737038).

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

1186720000 is an frugal number, since it uses more digits than its factorization.

1186720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1186720000 is about 34448.8025916722. The cubic root of 1186720000 is about 1058.7239896743.

Adding to 1186720000 its reverse (276811), we get a palindrome (1186996811).

The spelling of 1186720000 in words is "one billion, one hundred eighty-six million, seven hundred twenty thousand".