67731840 has 192 divisors, whose sum is σ = 255387600. Its totient is φ = 16404480.

The previous prime is 67731817. The next prime is 67731857. The reversal of 67731840 is 4813776.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 67731795 and 67731804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62826 + ... + 63894.

Almost surely, 2^67731840 is an apocalyptic number.

67731840 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 67731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127693800).

67731840 is an abundant number, since it is smaller than the sum of its proper divisors (187655760).

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

67731840 is a wasteful number, since it uses less digits than its factorization.

67731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 67731840 is about 8229.9356012061. The cubic root of 67731840 is about 407.6282657938.

The spelling of 67731840 in words is "sixty-seven million, seven hundred thirty-one thousand, eight hundred forty".