15342768 has 120 divisors (see below), whose sum is σ = 50758656. Its totient is φ = 4233600.

The previous prime is 15342763. The next prime is 15342797. The reversal of 15342768 is 86724351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15342763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31003 + ... + 31493.

Almost surely, 2^15342768 is an apocalyptic number.

15342768 is a gapful number since it is divisible by the number (18) 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 15342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25379328).

15342768 is an abundant number, since it is smaller than the sum of its proper divisors (35415888).

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

15342768 is a wasteful number, since it uses less digits than its factorization.

15342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 15342768 is about 3916.9845544755. The cubic root of 15342768 is about 248.4856076531.

It can be divided in two parts, 15342 and 768, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 15342768 in words is "fifteen million, three hundred forty-two thousand, seven hundred sixty-eight".