15918240 has 96 divisors (see below), whose sum is σ = 54020736. Its totient is φ = 3916800.

The previous prime is 15918233. The next prime is 15918281. The reversal of 15918240 is 4281951.

It is a happy number.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 15918198 and 15918207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (562716).

Almost surely, 2^15918240 is an apocalyptic number.

15918240 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 15918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27010368).

15918240 is an abundant number, since it is smaller than the sum of its proper divisors (38102496).

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

15918240 is a wasteful number, since it uses less digits than its factorization.

15918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 15918240 is about 3989.7669104849. The cubic root of 15918240 is about 251.5542636991.

The spelling of 15918240 in words is "fifteen million, nine hundred eighteen thousand, two hundred forty".