14746820 has 48 divisors (see below), whose sum is σ = 35779968. Its totient is φ = 5045760.

The previous prime is 14746799. The next prime is 14746867. The reversal of 14746820 is 2864741.

It is a super-2 number, since 2×14746820² = 434937400224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769 + ... + 5711.

It is an arithmetic number, because the mean of its divisors is an integer number (745416).

Almost surely, 2^14746820 is an apocalyptic number.

14746820 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 14746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889984).

14746820 is an abundant number, since it is smaller than the sum of its proper divisors (21033148).

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

14746820 is a wasteful number, since it uses less digits than its factorization.

14746820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 14746820 is about 3840.1588508810. The cubic root of 14746820 is about 245.2257810376.

The spelling of 14746820 in words is "fourteen million, seven hundred forty-six thousand, eight hundred twenty".