1152054624 has 96 divisors (see below), whose sum is σ = 3536628480. Its totient is φ = 321495552.

The previous prime is 1152054619. The next prime is 1152054641. The reversal of 1152054624 is 4264502511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1152054591 and 1152054600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8962 + ... + 48830.

It is an arithmetic number, because the mean of its divisors is an integer number (36839880).

Almost surely, 2^1152054624 is an apocalyptic number.

1152054624 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 1152054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768314240).

1152054624 is an abundant number, since it is smaller than the sum of its proper divisors (2384573856).

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

1152054624 is a wasteful number, since it uses less digits than its factorization.

1152054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39932 (or 39924 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1152054624 is about 33941.9301749326. The cubic root of 1152054624 is about 1048.3131263312.

The spelling of 1152054624 in words is "one billion, one hundred fifty-two million, fifty-four thousand, six hundred twenty-four".