685625640 has 384 divisors, whose sum is σ = 2674166400. Its totient is φ = 139732992.

The previous prime is 685625597. The next prime is 685625671. The reversal of 685625640 is 46526586.

It is a super-3 number, since 3×685625640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 685625592 and 685625601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36085551 + ... + 36085569.

It is an arithmetic number, because the mean of its divisors is an integer number (6963975).

Almost surely, 2^685625640 is an apocalyptic number.

685625640 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 685625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337083200).

685625640 is an abundant number, since it is smaller than the sum of its proper divisors (1988540760).

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

685625640 is a wasteful number, since it uses less digits than its factorization.

685625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 685625640 is about 26184.4541665470. The cubic root of 685625640 is about 881.7842757876.

The spelling of 685625640 in words is "six hundred eighty-five million, six hundred twenty-five thousand, six hundred forty".