13902768 has 120 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 4118400.

The previous prime is 13902761. The next prime is 13902769. The reversal of 13902768 is 86720931.

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 (13902761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106063 + ... + 106193.

Almost surely, 2^13902768 is an apocalyptic number.

13902768 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 13902768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

13902768 is an abundant number, since it is smaller than the sum of its proper divisors (29505168).

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

13902768 is a wasteful number, since it uses less digits than its factorization.

13902768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13902768 is about 3728.6415756948. The cubic root of 13902768 is about 240.4549702968.

The spelling of 13902768 in words is "thirteen million, nine hundred two thousand, seven hundred sixty-eight".