67485600 has 432 divisors, whose sum is σ = 295731072. Its totient is φ = 14100480.

The previous prime is 67485577. The next prime is 67485623. The reversal of 67485600 is 658476.

It is a happy number.

67485600 is a `hidden beast` number, since 6 + 7 + 48 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (67485577) and next prime (67485623).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655149 + ... + 655251.

Almost surely, 2^67485600 is an apocalyptic number.

67485600 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 67485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147865536).

67485600 is an abundant number, since it is smaller than the sum of its proper divisors (228245472).

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

67485600 is a wasteful number, since it uses less digits than its factorization.

67485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67485600 is about 8214.9619597415. The cubic root of 67485600 is about 407.1336866421.

The spelling of 67485600 in words is "sixty-seven million, four hundred eighty-five thousand, six hundred".