14764920 has 64 divisors (see below), whose sum is σ = 45390240. Its totient is φ = 3840000.

The previous prime is 14764903. The next prime is 14764921. The reversal of 14764920 is 2946741.

14764920 = 246² + 247² + ... + 389².

It is a happy number.

14764920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14764921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420 + ... + 6420.

Almost surely, 2^14764920 is an apocalyptic number.

14764920 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 14764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695120).

14764920 is an abundant number, since it is smaller than the sum of its proper divisors (30625320).

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

14764920 is a wasteful number, since it uses less digits than its factorization.

14764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 14764920 is about 3842.5148015330. The cubic root of 14764920 is about 245.3260686911.

The spelling of 14764920 in words is "fourteen million, seven hundred sixty-four thousand, nine hundred twenty".