15949000 has 64 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 6208000.

The previous prime is 15948997. The next prime is 15949007. The reversal of 15949000 is 94951.

It can be written as a sum of positive squares in 8 ways, for example, as 910116 + 15038884 = 954^2 + 3878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15949000.

It is not an unprimeable number, because it can be changed into a prime (15949007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40806 + ... + 41194.

Almost surely, 2^15949000 is an apocalyptic number.

15949000 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 15949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

15949000 is an abundant number, since it is smaller than the sum of its proper divisors (22380200).

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

15949000 is a wasteful number, since it uses less digits than its factorization.

15949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 15949000 is about 3993.6199118093. The cubic root of 15949000 is about 251.7161917845.

The spelling of 15949000 in words is "fifteen million, nine hundred forty-nine thousand".