15879240 has 240 divisors, whose sum is σ = 59786100. Its totient is φ = 3773952.

The previous prime is 15879239. The next prime is 15879247. The reversal of 15879240 is 4297851.

It can be written as a sum of positive squares in 6 ways, for example, as 1726596 + 14152644 = 1314^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15879195 and 15879204.

It is not an unprimeable number, because it can be changed into a prime (15879247) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547546 + ... + 547574.

Almost surely, 2^15879240 is an apocalyptic number.

15879240 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 15879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893050).

15879240 is an abundant number, since it is smaller than the sum of its proper divisors (43906860).

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

15879240 is a wasteful number, since it uses less digits than its factorization.

15879240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 15879240 is about 3984.8764096268. The cubic root of 15879240 is about 251.3486580694.

The spelling of 15879240 in words is "fifteen million, eight hundred seventy-nine thousand, two hundred forty".