15255120 has 80 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 3827712.

The previous prime is 15255101. The next prime is 15255127. The reversal of 15255120 is 2155251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15255127) 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, 2211 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 2^15255120 is an apocalyptic number.

15255120 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 15255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

15255120 is an abundant number, since it is smaller than the sum of its proper divisors (34830960).

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

15255120 is a wasteful number, since it uses less digits than its factorization.

15255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 15255120 is about 3905.7803317647. The cubic root of 15255120 is about 248.0115325889.

The spelling of 15255120 in words is "fifteen million, two hundred fifty-five thousand, one hundred twenty".