1188672000 has 320 divisors, whose sum is σ = 4075239168. Its totient is φ = 307200000.

The previous prime is 1188671987. The next prime is 1188672019. The reversal of 1188672000 is 2768811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1188672000² = 2825882247168000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7871925 + ... + 7872075.

Almost surely, 2^1188672000 is an apocalyptic number.

1188672000 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 1188672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037619584).

1188672000 is an abundant number, since it is smaller than the sum of its proper divisors (2886567168).

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

1188672000 is an equidigital number, since it uses as much as digits as its factorization.

1188672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1188672000 is about 34477.1228497971. The cubic root of 1188672000 is about 1059.3041594279.

The spelling of 1188672000 in words is "one billion, one hundred eighty-eight million, six hundred seventy-two thousand".