845513640 has 192 divisors, whose sum is σ = 2927957760. Its totient is φ = 219283200.

The previous prime is 845513633. The next prime is 845513651. The reversal of 845513640 is 46315548.

It is a happy number.

845513640 is a `hidden beast` number, since 8 + 4 + 5 + 5 + 1 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 845513595 and 845513604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358465 + ... + 360815.

It is an arithmetic number, because the mean of its divisors is an integer number (15249780).

Almost surely, 2^845513640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

845513640 is an abundant number, since it is smaller than the sum of its proper divisors (2082444120).

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

845513640 is a wasteful number, since it uses less digits than its factorization.

845513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 845513640 is about 29077.7172419019. The cubic root of 845513640 is about 945.5987135698.

The spelling of 845513640 in words is "eight hundred forty-five million, five hundred thirteen thousand, six hundred forty".