1968615 has 48 divisors (see below), whose sum is σ = 3852576. Its totient is φ = 921600.

The previous prime is 1968613. The next prime is 1968641. The reversal of 1968615 is 5168691.

It is not a de Polignac number, because 1968615 - 2¹ = 1968613 is a prime.

Its product of digits (12960) is a multiple of the sum of its prime factors (160).

1968615 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1968615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20247 + ... + 20343.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

2^1968615 is an apocalyptic number.

1968615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1968615 is a deficient number, since it is larger than the sum of its proper divisors (1883961).

1968615 is a wasteful number, since it uses less digits than its factorization.

1968615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1968615 is about 1403.0734121920. The cubic root of 1968615 is about 125.3295835670.

It can be divided in two parts, 19686 and 15, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1968615 in words is "one million, nine hundred sixty-eight thousand, six hundred fifteen".