15015648 has 48 divisors (see below), whose sum is σ = 39989376. Its totient is φ = 4932480.

The previous prime is 15015647. The next prime is 15015659. The reversal of 15015648 is 84651051.

15015648 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a super-3 number, since 3×15015648³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15015647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5715 + ... + 7917.

It is an arithmetic number, because the mean of its divisors is an integer number (833112).

Almost surely, 2^15015648 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 15015648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994688).

15015648 is an abundant number, since it is smaller than the sum of its proper divisors (24973728).

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

15015648 is a wasteful number, since it uses less digits than its factorization.

15015648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 15015648 is about 3875.0029677408. The cubic root of 15015648 is about 246.7069360438.

Adding to 15015648 its reverse (84651051), we get a palindrome (99666699).

The spelling of 15015648 in words is "fifteen million, fifteen thousand, six hundred forty-eight".