67482000 has 240 divisors, whose sum is σ = 247448448. Its totient is φ = 17107200.

The previous prime is 67481987. The next prime is 67482013. The reversal of 67482000 is 28476.

It is an interprime number because it is at equal distance from previous prime (67481987) and next prime (67482013).

It is a tau number, because it is divible by the number of its divisors (240).

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, 413919 + ... + 414081.

Almost surely, 2^67482000 is an apocalyptic number.

67482000 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 67482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123724224).

67482000 is an abundant number, since it is smaller than the sum of its proper divisors (179966448).

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

67482000 is a wasteful number, since it uses less digits than its factorization.

67482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 67482000 is about 8214.7428444231. The cubic root of 67482000 is about 407.1264470368.

The spelling of 67482000 in words is "sixty-seven million, four hundred eighty-two thousand".