14861980 has 48 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 5030208.

The previous prime is 14861953. The next prime is 14861983. The reversal of 14861980 is 8916841.

14861980 = T₃₈₉ + T₃₉₀ + ... + T₅₂₈.

It is a happy number.

14861980 is digitally balanced in base 2, because in such base 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 (14861983) 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, 10981 + ... + 12259.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 2^14861980 is an apocalyptic number.

14861980 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 14861980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

14861980 is an abundant number, since it is smaller than the sum of its proper divisors (21264740).

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

14861980 is a wasteful number, since it uses less digits than its factorization.

14861980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 14861980 is about 3855.1238631204. The cubic root of 14861980 is about 245.8624608470.

It can be divided in two parts, 148 and 61980, that added together give a triangular number (62128 = T₃₅₂).

The spelling of 14861980 in words is "fourteen million, eight hundred sixty-one thousand, nine hundred eighty".