15120240 has 60 divisors (see below), whose sum is σ = 47060232. Its totient is φ = 4016000.

The previous prime is 15120233. The next prime is 15120241. The reversal of 15120240 is 4202151.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15120241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60115 + ... + 60365.

Almost surely, 2^15120240 is an apocalyptic number.

15120240 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 15120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530116).

15120240 is an abundant number, since it is smaller than the sum of its proper divisors (31939992).

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

15120240 is an equidigital number, since it uses as much as digits as its factorization.

15120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15120240 is about 3888.4752795922. The cubic root of 15120240 is about 247.2784263261.

Multiplying 15120240 by its sum of digits (15), we get a square (226803600 = 15060²).

15120240 divided by its sum of digits (15) gives a square (1008016 = 1004²).

Adding to 15120240 its reverse (4202151), we get a palindrome (19322391).

The spelling of 15120240 in words is "fifteen million, one hundred twenty thousand, two hundred forty".