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685090560 = 28357211331
BaseRepresentation
bin101000110101011…
…010011100000000
31202202010012120110
4220311122130000
52400340344220
6151551511320
722656113400
oct5065323400
91682105513
10685090560
11321796750
12171528540
13abc1c03b
1466db6800
1540229be0
hex28d5a700

685090560 has 432 divisors, whose sum is σ = 2785007232. Its totient is φ = 141926400.

The previous prime is 685090547. The next prime is 685090579. The reversal of 685090560 is 65090586.

It is a super-2 number, since 2×6850905602 = 938698150802227200, which contains 22 as substring.

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, 2069595 + ... + 2069925.

It is an arithmetic number, because the mean of its divisors is an integer number (6446776).

Almost surely, 2685090560 is an apocalyptic number.

685090560 is a gapful number since it is divisible by the number (60) 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 685090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392503616).

685090560 is an abundant number, since it is smaller than the sum of its proper divisors (2099916672).

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

685090560 is a wasteful number, since it uses less digits than its factorization.

685090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 685090560 is about 26174.2346592981. The cubic root of 685090560 is about 881.5548269953.

The spelling of 685090560 in words is "six hundred eighty-five million, ninety thousand, five hundred sixty".