15852000 has 96 divisors (see below), whose sum is σ = 51970464. Its totient is φ = 4224000.

The previous prime is 15851989. The next prime is 15852029. The reversal of 15852000 is 25851.

15852000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

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, 11340 + ... + 12660.

It is an arithmetic number, because the mean of its divisors is an integer number (541359).

Almost surely, 2^15852000 is an apocalyptic number.

15852000 is a gapful number since it is divisible by the number (10) 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 15852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25985232).

15852000 is an abundant number, since it is smaller than the sum of its proper divisors (36118464).

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

15852000 is a wasteful number, since it uses less digits than its factorization.

15852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 15852000 is about 3981.4570197354. The cubic root of 15852000 is about 251.2048506778.

Adding to 15852000 its reverse (25851), we get a palindrome (15877851).

The spelling of 15852000 in words is "fifteen million, eight hundred fifty-two thousand".