67415040 has 528 divisors, whose sum is σ = 306558720. Its totient is φ = 13271040.

The previous prime is 67415039. The next prime is 67415057. The reversal of 67415040 is 4051476.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 67414995 and 67415013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548151 + ... + 3548169.

Almost surely, 2^67415040 is an apocalyptic number.

67415040 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 67415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

67415040 is an abundant number, since it is smaller than the sum of its proper divisors (239143680).

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

67415040 is a wasteful number, since it uses less digits than its factorization.

67415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 67415040 is about 8210.6662336256. Note that the first 3 decimals coincide. The cubic root of 67415040 is about 406.9917434188.

It can be divided in two parts, 6741 and 5040, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 67415040 in words is "sixty-seven million, four hundred fifteen thousand, forty".