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685964160 = 27335753107
BaseRepresentation
bin101000111000101…
…111101110000000
31202210202120221000
4220320233232000
52401101323120
6152022332000
722666412340
oct5070575600
91683676830
10685964160
11322233032
1217188a000
13ac16686b
1467162d20
154034d990
hex28e2fb80

685964160 has 512 divisors, whose sum is σ = 2855347200. Its totient is φ = 152395776.

The previous prime is 685964131. The next prime is 685964171. The reversal of 685964160 is 61469586.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6410827 + ... + 6410933.

It is an arithmetic number, because the mean of its divisors is an integer number (5576850).

Almost surely, 2685964160 is an apocalyptic number.

685964160 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 685964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427673600).

685964160 is an abundant number, since it is smaller than the sum of its proper divisors (2169383040).

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

685964160 is a wasteful number, since it uses less digits than its factorization.

685964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 685964160 is about 26190.9175097017. The cubic root of 685964160 is about 881.9293756214.

The spelling of 685964160 in words is "six hundred eighty-five million, nine hundred sixty-four thousand, one hundred sixty".