1160220624 has 80 divisors (see below), whose sum is σ = 3251041920. Its totient is φ = 355102720.

The previous prime is 1160220613. The next prime is 1160220653. The reversal of 1160220624 is 4260220611.

It is a super-3 number, since 3×1160220624³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1160220594 and 1160220603.

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, 16117 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (40638024).

Almost surely, 2^1160220624 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 1160220624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625520960).

1160220624 is an abundant number, since it is smaller than the sum of its proper divisors (2090821296).

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

1160220624 is a wasteful number, since it uses less digits than its factorization.

1160220624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34748 (or 34742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1160220624 is about 34062.0114497074. The cubic root of 1160220624 is about 1050.7841833547.

The spelling of 1160220624 in words is "one billion, one hundred sixty million, two hundred twenty thousand, six hundred twenty-four".