67461240 has 256 divisors, whose sum is σ = 259200000. Its totient is φ = 13923840.

The previous prime is 67461223. The next prime is 67461241. The reversal of 67461240 is 4216476.

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 = 67461198 and 67461207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67461241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452686 + ... + 452834.

It is an arithmetic number, because the mean of its divisors is an integer number (1012500).

Almost surely, 2^67461240 is an apocalyptic number.

67461240 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 67461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

67461240 is an abundant number, since it is smaller than the sum of its proper divisors (191738760).

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

67461240 is a wasteful number, since it uses less digits than its factorization.

67461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67461240 is about 8213.4791653720. The cubic root of 67461240 is about 407.0846936215.

The spelling of 67461240 in words is "sixty-seven million, four hundred sixty-one thousand, two hundred forty".