67885440 has 128 divisors (see below), whose sum is σ = 247345920. Its totient is φ = 15513600.

The previous prime is 67885439. The next prime is 67885453. The reversal of 67885440 is 4458876.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 67885392 and 67885401.

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, 10915 + ... + 15965.

It is an arithmetic number, because the mean of its divisors is an integer number (1932390).

Almost surely, 2^67885440 is an apocalyptic number.

67885440 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 67885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123672960).

67885440 is an abundant number, since it is smaller than the sum of its proper divisors (179460480).

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

67885440 is a wasteful number, since it uses less digits than its factorization.

67885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 67885440 is about 8239.2621028828. The cubic root of 67885440 is about 407.9361684070.

The spelling of 67885440 in words is "sixty-seven million, eight hundred eighty-five thousand, four hundred forty".