67648500 has 96 divisors (see below), whose sum is σ = 218924160. Its totient is φ = 18036000.

The previous prime is 67648489. The next prime is 67648501. The reversal of 67648500 is 584676.

It is a happy number.

67648500 is a `hidden beast` number, since 6 + 7 + 648 + 5 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67648501) 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, 10995 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (2280460).

Almost surely, 2^67648500 is an apocalyptic number.

67648500 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 67648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109462080).

67648500 is an abundant number, since it is smaller than the sum of its proper divisors (151275660).

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

67648500 is a wasteful number, since it uses less digits than its factorization.

67648500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5021 counting only the distinct ones).

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

The square root of 67648500 is about 8224.8708196543. The cubic root of 67648500 is about 407.4610097313.

The spelling of 67648500 in words is "sixty-seven million, six hundred forty-eight thousand, five hundred".