10684557 has 48 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 6120576.

The previous prime is 10684549. The next prime is 10684561. The reversal of 10684557 is 75548601.

It is not a de Polignac number, because 10684557 - 2³ = 10684549 is a prime.

It is a super-3 number, since 3×10684557³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159438 + ... + 159504.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^10684557 is an apocalyptic number.

It is an amenable number.

10684557 is a deficient number, since it is larger than the sum of its proper divisors (7136883).

10684557 is a wasteful number, since it uses less digits than its factorization.

10684557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 10684557 is about 3268.7240629946. The cubic root of 10684557 is about 220.2514823929.

It can be divided in two parts, 1068 and 4557, that added together give a square (5625 = 75²).

The spelling of 10684557 in words is "ten million, six hundred eighty-four thousand, five hundred fifty-seven".