840618960 has 80 divisors (see below), whose sum is σ = 2631795840. Its totient is φ = 221939200.

The previous prime is 840618953. The next prime is 840618967. The reversal of 840618960 is 69816048.

It is an interprime number because it is at equal distance from previous prime (840618953) and next prime (840618967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×840618960² = 1413280471822963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840618967) 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, 6901 + ... + 41579.

It is an arithmetic number, because the mean of its divisors is an integer number (32897448).

Almost surely, 2^840618960 is an apocalyptic number.

840618960 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 840618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315897920).

840618960 is an abundant number, since it is smaller than the sum of its proper divisors (1791176880).

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

840618960 is a wasteful number, since it uses less digits than its factorization.

840618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34796 (or 34790 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 840618960 is about 28993.4296005147. The cubic root of 840618960 is about 943.7704902646.

The spelling of 840618960 in words is "eight hundred forty million, six hundred eighteen thousand, nine hundred sixty".