15949440 has 256 divisors, whose sum is σ = 61689600. Its totient is φ = 3870720.

The previous prime is 15949433. The next prime is 15949441. The reversal of 15949440 is 4494951.

It is a happy number.

15949440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 15949395 and 15949404.

It is not an unprimeable number, because it can be changed into a prime (15949441) 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, 224605 + ... + 224675.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^15949440 is an apocalyptic number.

15949440 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 15949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

15949440 is an abundant number, since it is smaller than the sum of its proper divisors (45740160).

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

15949440 is a wasteful number, since it uses less digits than its factorization.

15949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 15949440 is about 3993.6749992958. The cubic root of 15949440 is about 251.7185065400.

The spelling of 15949440 in words is "fifteen million, nine hundred forty-nine thousand, four hundred forty".