1152656064 has 168 divisors, whose sum is σ = 3807285248. Its totient is φ = 326592000.

The previous prime is 1152656039. The next prime is 1152656119. The reversal of 1152656064 is 4606562511.

1152656064 is a `hidden beast` number, since 1 + 15 + 26 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510939 + ... + 513189.

Almost surely, 2^1152656064 is an apocalyptic number.

1152656064 is a gapful number since it is divisible by the number (14) 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 1152656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903642624).

1152656064 is an abundant number, since it is smaller than the sum of its proper divisors (2654629184).

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

1152656064 is a wasteful number, since it uses less digits than its factorization.

1152656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1152656064 is about 33950.7888568145. The cubic root of 1152656064 is about 1048.4955215482.

The spelling of 1152656064 in words is "one billion, one hundred fifty-two million, six hundred fifty-six thousand, sixty-four".