67707940 has 48 divisors (see below), whose sum is σ = 152176752. Its totient is φ = 25214976.

The previous prime is 67707931. The next prime is 67707949. The reversal of 67707940 is 4970776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67707931) and next prime (67707949).

It can be written as a sum of positive squares in 8 ways, for example, as 238144 + 67469796 = 488^2 + 8214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67707893 and 67707902.

It is not an unprimeable number, because it can be changed into a prime (67707949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31954 + ... + 34006.

It is an arithmetic number, because the mean of its divisors is an integer number (3170349).

Almost surely, 2^67707940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67707940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76088376).

67707940 is an abundant number, since it is smaller than the sum of its proper divisors (84468812).

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

67707940 is a wasteful number, since it uses less digits than its factorization.

67707940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 67707940 is about 8228.4834568710. The cubic root of 67707940 is about 407.5803146300.

The spelling of 67707940 in words is "sixty-seven million, seven hundred seven thousand, nine hundred forty".