15940896 has 48 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 5199104.

The previous prime is 15940891. The next prime is 15940921. The reversal of 15940896 is 69804951.

15940896 = T₈₀₀ + T₈₀₁ + ... + T₈₄₆.

15940896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15940896² = 508224330565632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15940891) 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, 2746 + ... + 6278.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^15940896 is an apocalyptic number.

15940896 is a gapful number since it is divisible by the number (16) 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 15940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

15940896 is an abundant number, since it is smaller than the sum of its proper divisors (26806368).

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

15940896 is a wasteful number, since it uses less digits than its factorization.

15940896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 15940896 is about 3992.6051645511. The cubic root of 15940896 is about 251.6735505819.

It can be divided in two parts, 15940 and 896, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 15940896 in words is "fifteen million, nine hundred forty thousand, eight hundred ninety-six".