13764000 has 192 divisors, whose sum is σ = 47803392. Its totient is φ = 3456000.

The previous prime is 13763983. The next prime is 13764001. The reversal of 13764000 is 46731.

It is not an unprimeable number, because it can be changed into a prime (13764001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371982 + ... + 372018.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^13764000 is an apocalyptic number.

13764000 is a gapful number since it is divisible by the number (10) 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 13764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

13764000 is an abundant number, since it is smaller than the sum of its proper divisors (34039392).

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

13764000 is a wasteful number, since it uses less digits than its factorization.

13764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13764000 is about 3709.9865228866. The cubic root of 13764000 is about 239.6522742160.

The spelling of 13764000 in words is "thirteen million, seven hundred sixty-four thousand".