67683840 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 15458304.

The previous prime is 67683829. The next prime is 67683857. The reversal of 67683840 is 4838676.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×67683840² = 9162204394291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67683792 and 67683801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53131 + ... + 54389.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^67683840 is an apocalyptic number.

67683840 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 67683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

67683840 is an abundant number, since it is smaller than the sum of its proper divisors (179800320).

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

67683840 is a wasteful number, since it uses less digits than its factorization.

67683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 67683840 is about 8227.0189011573. The cubic root of 67683840 is about 407.5319507737.

The spelling of 67683840 in words is "sixty-seven million, six hundred eighty-three thousand, eight hundred forty".