67914000 has 480 divisors, whose sum is σ = 301766400. Its totient is φ = 14112000.

The previous prime is 67913987. The next prime is 67914019. The reversal of 67914000 is 41976.

It is a super-2 number, since 2×67914000² = 9224622792000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6173995 + ... + 6174005.

It is an arithmetic number, because the mean of its divisors is an integer number (628680).

Almost surely, 2^67914000 is an apocalyptic number.

67914000 is a gapful number since it is divisible by the number (60) 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 67914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

67914000 is an abundant number, since it is smaller than the sum of its proper divisors (233852400).

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

67914000 is a wasteful number, since it uses less digits than its factorization.

67914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

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

The square root of 67914000 is about 8240.9950855464. The cubic root of 67914000 is about 407.9933678276.

Adding to 67914000 its reverse (41976), we get a palindrome (67955976).

The spelling of 67914000 in words is "sixty-seven million, nine hundred fourteen thousand".