906593085360 has 640 divisors, whose sum is σ = 3234650112000. Its totient is φ = 233293851648.

The previous prime is 906593085319. The next prime is 906593085371. The reversal of 906593085360 is 63580395609.

It is a super-2 number, since 2×906593085360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 906593085297 and 906593085306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2046485299 + ... + 2046485741.

It is an arithmetic number, because the mean of its divisors is an integer number (5054140800).

Almost surely, 2^906593085360 is an apocalyptic number.

906593085360 is a gapful number since it is divisible by the number (90) 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 906593085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617325056000).

906593085360 is an abundant number, since it is smaller than the sum of its proper divisors (2328057026640).

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

906593085360 is a wasteful number, since it uses less digits than its factorization.

906593085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 906593085360 in words is "nine hundred six billion, five hundred ninety-three million, eighty-five thousand, three hundred sixty".