67083840 has 84 divisors (see below), whose sum is σ = 230750364. Its totient is φ = 17888256.

The previous prime is 67083829. The next prime is 67083859. The reversal of 67083840 is 4838076.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 56430144 = 3264^2 + 7512^2 .

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 = 67083795 and 67083804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8767 + ... + 14526.

Almost surely, 2^67083840 is an apocalyptic number.

67083840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67083840 is an abundant number, since it is smaller than the sum of its proper divisors (163666524).

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

67083840 is a wasteful number, since it uses less digits than its factorization.

67083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23316 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67083840 is about 8190.4725138419. The cubic root of 67083840 is about 406.3241524602.

The spelling of 67083840 in words is "sixty-seven million, eighty-three thousand, eight hundred forty".