107967640 has 64 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 38586240.

The previous prime is 107967631. The next prime is 107967647. The reversal of 107967640 is 46769701.

It is a super-2 number, since 2×107967640² = 23314022574339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 107967593 and 107967602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107967647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881 + ... + 28039.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^107967640 is an apocalyptic number.

107967640 is a gapful number since it is divisible by the number (10) 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 107967640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

107967640 is an abundant number, since it is smaller than the sum of its proper divisors (161600360).

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

107967640 is a wasteful number, since it uses less digits than its factorization.

107967640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 107967640 is about 10390.7478075449. The cubic root of 107967640 is about 476.1727476003.

The spelling of 107967640 in words is "one hundred seven million, nine hundred sixty-seven thousand, six hundred forty".