15950080 has 72 divisors (see below), whose sum is σ = 40507992. Its totient is φ = 5996544.

The previous prime is 15950069. The next prime is 15950083. The reversal of 15950080 is 8005951.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 7929856 = 2832^2 + 2816^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (15950083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21394 + ... + 22126.

It is an arithmetic number, because the mean of its divisors is an integer number (562611).

Almost surely, 2^15950080 is an apocalyptic number.

15950080 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 15950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253996).

15950080 is an abundant number, since it is smaller than the sum of its proper divisors (24557912).

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

15950080 is an equidigital number, since it uses as much as digits as its factorization.

15950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 15950080 is about 3993.7551251923. The cubic root of 15950080 is about 251.7218733811.

The spelling of 15950080 in words is "fifteen million, nine hundred fifty thousand, eighty".