67436040 has 128 divisors (see below), whose sum is σ = 236712960. Its totient is φ = 15047424.

The previous prime is 67436009. The next prime is 67436041. The reversal of 67436040 is 4063476.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67435989 and 67436007.

It is not an unprimeable number, because it can be changed into a prime (67436041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35187 + ... + 37053.

It is an arithmetic number, because the mean of its divisors is an integer number (1849320).

Almost surely, 2^67436040 is an apocalyptic number.

67436040 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 67436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118356480).

67436040 is an abundant number, since it is smaller than the sum of its proper divisors (169276920).

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

67436040 is a wasteful number, since it uses less digits than its factorization.

67436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 67436040 is about 8211.9449584127. The cubic root of 67436040 is about 407.0339987737.

The spelling of 67436040 in words is "sixty-seven million, four hundred thirty-six thousand, forty".