1187032320 has 270 divisors, whose sum is σ = 4287485202. Its totient is φ = 313583616.

The previous prime is 1187032313. The next prime is 1187032349. The reversal of 1187032320 is 232307811.

It can be written as a sum of positive squares in only one way, i.e., 949625856 + 237406464 = 30816^2 + 15408^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11093707 + ... + 11093813.

Almost surely, 2^1187032320 is an apocalyptic number.

1187032320 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 1187032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143742601).

1187032320 is an abundant number, since it is smaller than the sum of its proper divisors (3100452882).

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

1187032320 is an frugal number, since it uses more digits than its factorization.

1187032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1187032320 is about 34453.3353973168. The cubic root of 1187032320 is about 1058.8168595658.

The spelling of 1187032320 in words is "one billion, one hundred eighty-seven million, thirty-two thousand, three hundred twenty".