67881240 has 320 divisors, whose sum is σ = 270768960. Its totient is φ = 14929920.

The previous prime is 67881239. The next prime is 67881269. The reversal of 67881240 is 4218876.

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 = 67881195 and 67881204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 929844 + ... + 929916.

It is an arithmetic number, because the mean of its divisors is an integer number (846153).

Almost surely, 2^67881240 is an apocalyptic number.

67881240 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 67881240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135384480).

67881240 is an abundant number, since it is smaller than the sum of its proper divisors (202887720).

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

67881240 is a wasteful number, since it uses less digits than its factorization.

67881240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67881240 is about 8239.0072217470. The cubic root of 67881240 is about 407.9277553745.

It can be divided in two parts, 67881 and 240, that added together give a square (68121 = 261²).

The spelling of 67881240 in words is "sixty-seven million, eight hundred eighty-one thousand, two hundred forty".