685837152 has 576 divisors, whose sum is σ = 2744824320. Its totient is φ = 161740800.

The previous prime is 685837123. The next prime is 685837177. The reversal of 685837152 is 251738586.

685837152 is a `hidden beast` number, since 68 + 583 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×685837152² = 940745198126942208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 685837098 and 685837107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11243202 + ... + 11243262.

It is an arithmetic number, because the mean of its divisors is an integer number (4765320).

Almost surely, 2^685837152 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 685837152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372412160).

685837152 is an abundant number, since it is smaller than the sum of its proper divisors (2058987168).

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

685837152 is a wasteful number, since it uses less digits than its factorization.

685837152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 685837152 is about 26188.4927401330. The cubic root of 685837152 is about 881.8749417765.

The spelling of 685837152 in words is "six hundred eighty-five million, eight hundred thirty-seven thousand, one hundred fifty-two".