845708640 has 288 divisors, whose sum is σ = 3178121184. Its totient is φ = 188375040.

The previous prime is 845708629. The next prime is 845708657. The reversal of 845708640 is 46807548.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 845708592 and 845708601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963882 + ... + 964758.

It is an arithmetic number, because the mean of its divisors is an integer number (11035143).

Almost surely, 2^845708640 is an apocalyptic number.

845708640 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 845708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589060592).

845708640 is an abundant number, since it is smaller than the sum of its proper divisors (2332412544).

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

845708640 is a wasteful number, since it uses less digits than its factorization.

845708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 845708640 is about 29081.0701316165. The cubic root of 845708640 is about 945.6714021569.

The spelling of 845708640 in words is "eight hundred forty-five million, seven hundred eight thousand, six hundred forty".