13983480 has 192 divisors, whose sum is σ = 53913600. Its totient is φ = 3075840.

The previous prime is 13983479. The next prime is 13983491. The reversal of 13983480 is 8438931.

13983480 = 138² + 139² + ... + 354².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78031 + ... + 78209.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 2^13983480 is an apocalyptic number.

13983480 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 13983480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

13983480 is an abundant number, since it is smaller than the sum of its proper divisors (39930120).

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

13983480 is a wasteful number, since it uses less digits than its factorization.

13983480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13983480 is about 3739.4491572958. The cubic root of 13983480 is about 240.9193901764.

The spelling of 13983480 in words is "thirteen million, nine hundred eighty-three thousand, four hundred eighty".