15240096 has 96 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 4907520.

The previous prime is 15240091. The next prime is 15240107. The reversal of 15240096 is 69004251.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15240091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26500 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^15240096 is an apocalyptic number.

15240096 is a gapful number since it is divisible by the number (16) 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 15240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

15240096 is an abundant number, since it is smaller than the sum of its proper divisors (30724704).

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

15240096 is a wasteful number, since it uses less digits than its factorization.

15240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15240096 is about 3903.8565547417. The cubic root of 15240096 is about 247.9300878202.

The spelling of 15240096 in words is "fifteen million, two hundred forty thousand, ninety-six".