1187057664 has 156 divisors (see below), whose sum is σ = 3694108236. Its totient is φ = 365101056.

The previous prime is 1187057629. The next prime is 1187057671. The reversal of 1187057664 is 4667507811.

1187057664 is a `hidden beast` number, since 1 + 1 + 8 + 70 + 576 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 368640000 + 818417664 = 19200^2 + 28608^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×1187057664² = 2818211795322273792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477994 + ... + 480470.

It is an arithmetic number, because the mean of its divisors is an integer number (23680181).

Almost surely, 2^1187057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1187057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847054118).

1187057664 is an abundant number, since it is smaller than the sum of its proper divisors (2507050572).

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

1187057664 is a wasteful number, since it uses less digits than its factorization.

1187057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1187057664 is about 34453.7031971891. The cubic root of 1187057664 is about 1058.8243950145.

The spelling of 1187057664 in words is "one billion, one hundred eighty-seven million, fifty-seven thousand, six hundred sixty-four".