67115040 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 17409024.

The previous prime is 67115017. The next prime is 67115051. The reversal of 67115040 is 4051176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 67115040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15871 + ... + 19649.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^67115040 is an apocalyptic number.

67115040 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 67115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

67115040 is an abundant number, since it is smaller than the sum of its proper divisors (150068640).

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

67115040 is a wasteful number, since it uses less digits than its factorization.

67115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 67115040 is about 8192.3769444527. The cubic root of 67115040 is about 406.3871350837.

The spelling of 67115040 in words is "sixty-seven million, one hundred fifteen thousand, forty".