15966240 has 192 divisors, whose sum is σ = 55157760. Its totient is φ = 3870720.

The previous prime is 15966239. The next prime is 15966241. The reversal of 15966240 is 4266951.

It is an interprime number because it is at equal distance from previous prime (15966239) and next prime (15966241).

It is not an unprimeable number, because it can be changed into a prime (15966241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431502 + ... + 431538.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^15966240 is an apocalyptic number.

15966240 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 15966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

15966240 is an abundant number, since it is smaller than the sum of its proper divisors (39191520).

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

15966240 is a wasteful number, since it uses less digits than its factorization.

15966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 15966240 is about 3995.7777715984. Note that the first 5 decimals coincide. The cubic root of 15966240 is about 251.8068562873.

The spelling of 15966240 in words is "fifteen million, nine hundred sixty-six thousand, two hundred forty".