67842432 has 192 divisors, whose sum is σ = 229132800. Its totient is φ = 18865152.

The previous prime is 67842419. The next prime is 67842487. The reversal of 67842432 is 23424876.

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 nude number because it is divisible by every one of its digits.

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, 378919 + ... + 379097.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^67842432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

67842432 is an abundant number, since it is smaller than the sum of its proper divisors (161290368).

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

67842432 is a wasteful number, since it uses less digits than its factorization.

67842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 67842432 is about 8236.6517469176. The cubic root of 67842432 is about 407.8500025317.

It can be divided in two parts, 6784 and 2432, that added together give a square (9216 = 96²).

The spelling of 67842432 in words is "sixty-seven million, eight hundred forty-two thousand, four hundred thirty-two".