107609040 has 320 divisors, whose sum is σ = 462827520. Its totient is φ = 22325760.

The previous prime is 107609039. The next prime is 107609041. The reversal of 107609040 is 40906701.

107609040 is a `hidden beast` number, since 10 + 7 + 609 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (107609039) and next prime (107609041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107608995 and 107609013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107609041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165997 + ... + 166643.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 2^107609040 is an apocalyptic number.

107609040 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 107609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

107609040 is an abundant number, since it is smaller than the sum of its proper divisors (355218480).

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

107609040 is a wasteful number, since it uses less digits than its factorization.

107609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107609040 is about 10373.4777196464. The cubic root of 107609040 is about 475.6449816138.

The spelling of 107609040 in words is "one hundred seven million, six hundred nine thousand, forty".