67447440 has 120 divisors (see below), whose sum is σ = 228791160. Its totient is φ = 17805312.

The previous prime is 67447423. The next prime is 67447447. The reversal of 67447440 is 4474476.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 67371264 = 276^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 67447395 and 67447404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67447447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80946 + ... + 81774.

It is an arithmetic number, because the mean of its divisors is an integer number (1906593).

Almost surely, 2^67447440 is an apocalyptic number.

67447440 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 67447440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114395580).

67447440 is an abundant number, since it is smaller than the sum of its proper divisors (161343720).

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

67447440 is a wasteful number, since it uses less digits than its factorization.

67447440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 67447440 is about 8212.6390399189. The cubic root of 67447440 is about 407.0569337213.

The spelling of 67447440 in words is "sixty-seven million, four hundred forty-seven thousand, four hundred forty".