10685598 has 64 divisors (see below), whose sum is σ = 27025920. Its totient is φ = 2736000.

The previous prime is 10685579. The next prime is 10685599. The reversal of 10685598 is 89558601.

It is a super-2 number, since 2×10685598² = 228364009235208, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10685599) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46548 + ... + 46776.

It is an arithmetic number, because the mean of its divisors is an integer number (422280).

Almost surely, 2^10685598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512960).

10685598 is an abundant number, since it is smaller than the sum of its proper divisors (16340322).

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

10685598 is a wasteful number, since it uses less digits than its factorization.

10685598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 10685598 is about 3268.8832955613. The cubic root of 10685598 is about 220.2586352194.

It can be divided in two parts, 106855 and 98, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 10685598 in words is "ten million, six hundred eighty-five thousand, five hundred ninety-eight".