67055040 has 280 divisors, whose sum is σ = 258165600. Its totient is φ = 16422912.

The previous prime is 67055029. The next prime is 67055059. The reversal of 67055040 is 4055076.

67055040 is a `hidden beast` number, since 6 + 70 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 67054995 and 67055013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336861 + ... + 337059.

It is an arithmetic number, because the mean of its divisors is an integer number (922020).

Almost surely, 2^67055040 is an apocalyptic number.

67055040 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 67055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129082800).

67055040 is an abundant number, since it is smaller than the sum of its proper divisors (191110560).

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

67055040 is a wasteful number, since it uses less digits than its factorization.

67055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

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

The square root of 67055040 is about 8188.7141847790. The cubic root of 67055040 is about 406.2659973188.

The spelling of 67055040 in words is "sixty-seven million, fifty-five thousand, forty".