67764060 has 288 divisors, whose sum is σ = 265446720. Its totient is φ = 14224896.

The previous prime is 67764043. The next prime is 67764061. The reversal of 67764060 is 6046776.

67764060 is a `hidden beast` number, since 6 + 7 + 7 + 640 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67764061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343882 + ... + 344078.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^67764060 is an apocalyptic number.

67764060 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 67764060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

67764060 is an abundant number, since it is smaller than the sum of its proper divisors (197682660).

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

67764060 is a wasteful number, since it uses less digits than its factorization.

67764060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 67764060 is about 8231.8928564456. The cubic root of 67764060 is about 407.6928917300.

The spelling of 67764060 in words is "sixty-seven million, seven hundred sixty-four thousand, sixty".