14700960 has 192 divisors, whose sum is σ = 53343360. Its totient is φ = 3778560.

The previous prime is 14700953. The next prime is 14700967. The reversal of 14700960 is 6900741.

It is an interprime number because it is at equal distance from previous prime (14700953) and next prime (14700967).

It is a super-2 number, since 2×14700960² = 432236449843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14700967) 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, 177079 + ... + 177161.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 2^14700960 is an apocalyptic number.

14700960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14700960 is the 2214-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

14700960 is an abundant number, since it is smaller than the sum of its proper divisors (38642400).

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

14700960 is a wasteful number, since it uses less digits than its factorization.

14700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14700960 is about 3834.1830942197. The cubic root of 14700960 is about 244.9713141480.

The spelling of 14700960 in words is "fourteen million, seven hundred thousand, nine hundred sixty".