15155840 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 4866048.

The previous prime is 15155839. The next prime is 15155849. The reversal of 15155840 is 4855151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×15155840² = 459398972211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15155849) 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, 76061 + ... + 76259.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^15155840 is an apocalyptic number.

15155840 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 15155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

15155840 is an abundant number, since it is smaller than the sum of its proper divisors (28908160).

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

15155840 is a wasteful number, since it uses less digits than its factorization.

15155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 15155840 is about 3893.0502180167. The cubic root of 15155840 is about 247.4723432688.

The spelling of 15155840 in words is "fifteen million, one hundred fifty-five thousand, eight hundred forty".