15048000 has 336 divisors, whose sum is σ = 61813440. Its totient is φ = 3456000.

The previous prime is 15047971. The next prime is 15048023. The reversal of 15048000 is 84051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791991 + ... + 792009.

Almost surely, 2^15048000 is an apocalyptic number.

15048000 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 15048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30906720).

15048000 is an abundant number, since it is smaller than the sum of its proper divisors (46765440).

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

15048000 is a wasteful number, since it uses less digits than its factorization.

15048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 15048000 is about 3879.1751700587. The cubic root of 15048000 is about 246.8839899520.

The spelling of 15048000 in words is "fifteen million, forty-eight thousand".