67950432 has 144 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 20275200.

The previous prime is 67950431. The next prime is 67950433. The reversal of 67950432 is 23405976.

It is an interprime number because it is at equal distance from previous prime (67950431) and next prime (67950433).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×67950432² = 9234522417973248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67950431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281832 + ... + 282072.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2^67950432 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 67950432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

67950432 is an abundant number, since it is smaller than the sum of its proper divisors (146103408).

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

67950432 is a wasteful number, since it uses less digits than its factorization.

67950432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 67950432 is about 8243.2052018617. The cubic root of 67950432 is about 408.0663098684.

The spelling of 67950432 in words is "sixty-seven million, nine hundred fifty thousand, four hundred thirty-two".