10355664 has 60 divisors (see below), whose sum is σ = 29421728. Its totient is φ = 3136320.

The previous prime is 10355663. The next prime is 10355677. The reversal of 10355664 is 46655301.

It is a super-3 number, since 3×10355664³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4917 + ... + 6699.

Almost surely, 2^10355664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710864).

10355664 is an abundant number, since it is smaller than the sum of its proper divisors (19066064).

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

10355664 is a wasteful number, since it uses less digits than its factorization.

10355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 10355664 is about 3218.0217525679. The cubic root of 10355664 is about 217.9679553381.

The spelling of 10355664 in words is "ten million, three hundred fifty-five thousand, six hundred sixty-four".