15648000 has 144 divisors (see below), whose sum is σ = 52293696. Its totient is φ = 4147200.

The previous prime is 15647987. The next prime is 15648013. The reversal of 15648000 is 84651.

It is an interprime number because it is at equal distance from previous prime (15647987) and next prime (15648013).

It is a super-3 number, since 3×15648000³ (a number of 23 digits) contains 333 as substring.

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

It is a nialpdrome in base 16.

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, 95919 + ... + 96081.

Almost surely, 2^15648000 is an apocalyptic number.

15648000 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 15648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26146848).

15648000 is an abundant number, since it is smaller than the sum of its proper divisors (36645696).

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

15648000 is an equidigital number, since it uses as much as digits as its factorization.

15648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 15648000 is about 3955.7553008244. The cubic root of 15648000 is about 250.1226065274.

The spelling of 15648000 in words is "fifteen million, six hundred forty-eight thousand".