14964720 has 80 divisors (see below), whose sum is σ = 48425472. Its totient is φ = 3815680.

The previous prime is 14964707. The next prime is 14964737. The reversal of 14964720 is 2746941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165 + ... + 6875.

Almost surely, 2^14964720 is an apocalyptic number.

14964720 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 14964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212736).

14964720 is an abundant number, since it is smaller than the sum of its proper divisors (33460752).

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

14964720 is a wasteful number, since it uses less digits than its factorization.

14964720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

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

The square root of 14964720 is about 3868.4260365167. The cubic root of 14964720 is about 246.4277046208.

It can be divided in two parts, 1496 and 4720, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 14964720 in words is "fourteen million, nine hundred sixty-four thousand, seven hundred twenty".