8168607440 has 160 divisors (see below), whose sum is σ = 23151018240. Its totient is φ = 2616532992.

The previous prime is 8168607437. The next prime is 8168607487. The reversal of 8168607440 is 447068618.

It is a super-2 number, since 2×8168607440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8168607391 and 8168607400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320194 + ... + 1326366.

It is an arithmetic number, because the mean of its divisors is an integer number (144693864).

Almost surely, 2^8168607440 is an apocalyptic number.

8168607440 is a gapful number since it is divisible by the number (80) 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 8168607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575509120).

8168607440 is an abundant number, since it is smaller than the sum of its proper divisors (14982410800).

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

8168607440 is a wasteful number, since it uses less digits than its factorization.

8168607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 8168607440 is about 90380.3487490505. The cubic root of 8168607440 is about 2013.9530498265.

The spelling of 8168607440 in words is "eight billion, one hundred sixty-eight million, six hundred seven thousand, four hundred forty".