67560642 has 40 divisors (see below), whose sum is σ = 153331200. Its totient is φ = 22230936.

The previous prime is 67560641. The next prime is 67560643. The reversal of 67560642 is 24606576.

67560642 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 0 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (67560641) and next prime (67560643).

It is a junction number, because it is equal to n+sod(n) for n = 67560597 and 67560606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67560641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10159 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (3833280).

Almost surely, 2^67560642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67560642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76665600).

67560642 is an abundant number, since it is smaller than the sum of its proper divisors (85770558).

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

67560642 is a wasteful number, since it uses less digits than its factorization.

67560642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 67560642 is about 8219.5280886435. The cubic root of 67560642 is about 407.2845376323.

The spelling of 67560642 in words is "sixty-seven million, five hundred sixty thousand, six hundred forty-two".