67474440 has 144 divisors (see below), whose sum is σ = 241195500. Its totient is φ = 16346880.

The previous prime is 67474399. The next prime is 67474441. The reversal of 67474440 is 4447476.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 1572516 = 8118^2 + 1254^2 .

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 = 67474395 and 67474404.

It is not an unprimeable number, because it can be changed into a prime (67474441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42786 + ... + 44334.

Almost surely, 2^67474440 is an apocalyptic number.

67474440 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 67474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120597750).

67474440 is an abundant number, since it is smaller than the sum of its proper divisors (173721060).

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

67474440 is a wasteful number, since it uses less digits than its factorization.

67474440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1570 counting only the distinct ones).

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

The square root of 67474440 is about 8214.2826832293. The cubic root of 67474440 is about 407.1112430274. Note that the first 3 decimals are identical.

The spelling of 67474440 in words is "sixty-seven million, four hundred seventy-four thousand, four hundred forty".