15983352 has 192 divisors, whose sum is σ = 57196800. Its totient is φ = 4017600.

The previous prime is 15983347. The next prime is 15983353. The reversal of 15983352 is 25338951.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15983353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515577 + ... + 515607.

It is an arithmetic number, because the mean of its divisors is an integer number (297900).

Almost surely, 2^15983352 is an apocalyptic number.

15983352 is a gapful number since it is divisible by the number (12) 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 15983352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598400).

15983352 is an abundant number, since it is smaller than the sum of its proper divisors (41213448).

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

15983352 is a wasteful number, since it uses less digits than its factorization.

15983352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 15983352 is about 3997.9184583981. The cubic root of 15983352 is about 251.8967831259.

It can be divided in two parts, 1598 and 3352, that added together give a triangular number (4950 = T₉₉).

The spelling of 15983352 in words is "fifteen million, nine hundred eighty-three thousand, three hundred fifty-two".