67580640 has 144 divisors (see below), whose sum is σ = 234220896. Its totient is φ = 17740800.

The previous prime is 67580633. The next prime is 67580659. The reversal of 67580640 is 4608576.

It is a happy number.

67580640 is a `hidden beast` number, since 6 + 7 + 5 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 67580595 and 67580604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101910 + ... + 102570.

It is an arithmetic number, because the mean of its divisors is an integer number (1626534).

Almost surely, 2^67580640 is an apocalyptic number.

67580640 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 67580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117110448).

67580640 is an abundant number, since it is smaller than the sum of its proper divisors (166640256).

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

67580640 is a wasteful number, since it uses less digits than its factorization.

67580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67580640 is about 8220.7444918328. The cubic root of 67580640 is about 407.3247191761.

The spelling of 67580640 in words is "sixty-seven million, five hundred eighty thousand, six hundred forty".