67505040 has 240 divisors, whose sum is σ = 242863920. Its totient is φ = 16773120.

The previous prime is 67505029. The next prime is 67505047. The reversal of 67505040 is 4050576.

It can be written as a sum of positive squares in 8 ways, for example, as 4016016 + 63489024 = 2004^2 + 7968^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 67504995 and 67505013.

It is not an unprimeable number, because it can be changed into a prime (67505047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106610 + ... + 1106670.

It is an arithmetic number, because the mean of its divisors is an integer number (1011933).

Almost surely, 2^67505040 is an apocalyptic number.

67505040 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 67505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121431960).

67505040 is an abundant number, since it is smaller than the sum of its proper divisors (175358880).

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

67505040 is a wasteful number, since it uses less digits than its factorization.

67505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 67505040 is about 8216.1450814844. The cubic root of 67505040 is about 407.1727760628.

The spelling of 67505040 in words is "sixty-seven million, five hundred five thousand, forty".