13764930 has 96 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 3283200.

The previous prime is 13764929. The next prime is 13764931. The reversal of 13764930 is 3946731.

It is an interprime number because it is at equal distance from previous prime (13764929) and next prime (13764931).

It is a junction number, because it is equal to n+sod(n) for n = 13764891 and 13764900.

It is not an unprimeable number, because it can be changed into a prime (13764931) 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, 335710 + ... + 335750.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 2^13764930 is an apocalyptic number.

13764930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

13764930 is an abundant number, since it is smaller than the sum of its proper divisors (23103678).

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

13764930 is a wasteful number, since it uses less digits than its factorization.

13764930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13764930 is about 3710.1118581520. Note that the first 3 decimals coincide. The cubic root of 13764930 is about 239.6576716682.

The spelling of 13764930 in words is "thirteen million, seven hundred sixty-four thousand, nine hundred thirty".