14778960 has 160 divisors (see below), whose sum is σ = 55234560. Its totient is φ = 3193344.

The previous prime is 14778943. The next prime is 14778961. The reversal of 14778960 is 6987741.

14778960 = 453² + 454² + ... + 515².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14778961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31689 + ... + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (345216).

Almost surely, 2^14778960 is an apocalyptic number.

14778960 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 14778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617280).

14778960 is an abundant number, since it is smaller than the sum of its proper divisors (40455600).

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

14778960 is a wasteful number, since it uses less digits than its factorization.

14778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 14778960 is about 3844.3412959830. The cubic root of 14778960 is about 245.4038044509.

The spelling of 14778960 in words is "fourteen million, seven hundred seventy-eight thousand, nine hundred sixty".