140107968 has 448 divisors, whose sum is σ = 559856640. Its totient is φ = 33592320.

The previous prime is 140107943. The next prime is 140108021. The reversal of 140107968 is 869701041.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10777530 + ... + 10777542.

It is an arithmetic number, because the mean of its divisors is an integer number (1249680).

Almost surely, 2^140107968 is an apocalyptic number.

140107968 is a gapful number since it is divisible by the number (18) 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 140107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279928320).

140107968 is an abundant number, since it is smaller than the sum of its proper divisors (419748672).

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

140107968 is an equidigital number, since it uses as much as digits as its factorization.

140107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 140107968 is about 11836.7211676207. The cubic root of 140107968 is about 519.3828576011.

The spelling of 140107968 in words is "one hundred forty million, one hundred seven thousand, nine hundred sixty-eight".