67639680 has 96 divisors (see below), whose sum is σ = 233588160. Its totient is φ = 18035712.

The previous prime is 67639673. The next prime is 67639697. The reversal of 67639680 is 8693676.

67639680 = T₁₀₁ + T₁₀₂ + ... + T₇₄₀.

67639680 is a `hidden beast` number, since 6 + 7 + 639 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 11631.

It is an arithmetic number, because the mean of its divisors is an integer number (2433210).

Almost surely, 2^67639680 is an apocalyptic number.

67639680 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 67639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116794080).

67639680 is an abundant number, since it is smaller than the sum of its proper divisors (165948480).

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

67639680 is a wasteful number, since it uses less digits than its factorization.

67639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 67639680 is about 8224.3346235425. The cubic root of 67639680 is about 407.4433007291.

The spelling of 67639680 in words is "sixty-seven million, six hundred thirty-nine thousand, six hundred eighty".