14167890 has 72 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 3432000.

The previous prime is 14167889. The next prime is 14167891. The reversal of 14167890 is 9876141.

14167890 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14167889) and next prime (14167891).

It can be written as a sum of positive squares in 2 ways, for example, as 11553201 + 2614689 = 3399^2 + 1617^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14167891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10240 + ... + 11540.

Almost surely, 2^14167890 is an apocalyptic number.

14167890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14167890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

14167890 is an abundant number, since it is smaller than the sum of its proper divisors (26352954).

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

14167890 is a wasteful number, since it uses less digits than its factorization.

14167890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14167890 is about 3764.0257703687. The cubic root of 14167890 is about 241.9738263704.

The spelling of 14167890 in words is "fourteen million, one hundred sixty-seven thousand, eight hundred ninety".