67938300 has 216 divisors, whose sum is σ = 233578800. Its totient is φ = 16450560.

The previous prime is 67938293. The next prime is 67938301. The reversal of 67938300 is 383976.

It is a super-2 number, since 2×67938300² = 9231225213780000, which contains 22 as substring.

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 (67938301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495832 + ... + 495968.

Almost surely, 2^67938300 is an apocalyptic number.

67938300 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 67938300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789400).

67938300 is an abundant number, since it is smaller than the sum of its proper divisors (165640500).

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

67938300 is a wasteful number, since it uses less digits than its factorization.

67938300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67938300 is about 8242.4692902067. The cubic root of 67938300 is about 408.0420227766.

The spelling of 67938300 in words is "sixty-seven million, nine hundred thirty-eight thousand, three hundred".