1152060624 has 320 divisors, whose sum is σ = 4117236480. Its totient is φ = 303022080.

The previous prime is 1152060617. The next prime is 1152060631. The reversal of 1152060624 is 4260602511.

1152060624 is a `hidden beast` number, since 1 + 1 + 52 + 0 + 606 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1152060617) and next prime (1152060631).

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 63 ways as a sum of consecutive naturals, for example, 1049644 + ... + 1050740.

It is an arithmetic number, because the mean of its divisors is an integer number (12866364).

Almost surely, 2^1152060624 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 1152060624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058618240).

1152060624 is an abundant number, since it is smaller than the sum of its proper divisors (2965175856).

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

1152060624 is a wasteful number, since it uses less digits than its factorization.

1152060624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1152060624 is about 33942.0185610697. The cubic root of 1152060624 is about 1048.3149462298.

The spelling of 1152060624 in words is "one billion, one hundred fifty-two million, sixty thousand, six hundred twenty-four".