67640760 has 384 divisors, whose sum is σ = 269568000. Its totient is φ = 14515200.

The previous prime is 67640759. The next prime is 67640761. The reversal of 67640760 is 6704676.

67640760 is a `hidden beast` number, since 6 + 7 + 640 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67640759) and next prime (67640761).

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 (67640761) 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, 2181945 + ... + 2181975.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^67640760 is an apocalyptic number.

67640760 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 67640760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

67640760 is an abundant number, since it is smaller than the sum of its proper divisors (201927240).

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

67640760 is a wasteful number, since it uses less digits than its factorization.

67640760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

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

The square root of 67640760 is about 8224.4002820874. The cubic root of 67640760 is about 407.4454692610.

The spelling of 67640760 in words is "sixty-seven million, six hundred forty thousand, seven hundred sixty".