686125440 has 1152 divisors, whose sum is σ = 3428399520. Its totient is φ = 123863040.

The previous prime is 686125417. The next prime is 686125459. The reversal of 686125440 is 44521686.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 686125395 and 686125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40360312 + ... + 40360328.

Almost surely, 2^686125440 is an apocalyptic number.

686125440 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 686125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714199760).

686125440 is an abundant number, since it is smaller than the sum of its proper divisors (2742274080).

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

686125440 is a wasteful number, since it uses less digits than its factorization.

686125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 686125440 is about 26193.9962586849. The cubic root of 686125440 is about 881.9984882816.

The spelling of 686125440 in words is "six hundred eighty-six million, one hundred twenty-five thousand, four hundred forty".