10361664 has 42 divisors (see below), whose sum is σ = 29701490. Its totient is φ = 3453696.

The previous prime is 10361641. The next prime is 10361677. The reversal of 10361664 is 46616301.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 627264 = 3120^2 + 792^2 .

It is a super-3 number, since 3×10361664³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8419 + ... + 9570.

Almost surely, 2^10361664 is an apocalyptic number.

It is an amenable number.

10361664 is an abundant number, since it is smaller than the sum of its proper divisors (19339826).

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

10361664 is a wasteful number, since it uses less digits than its factorization.

10361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18007 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10361664 is about 3218.9538673302. The cubic root of 10361664 is about 218.0100435852.

Adding to 10361664 its reverse (46616301), we get a palindrome (56977965).

It can be divided in two parts, 10361 and 664, that added together give a square (11025 = 105²).

The spelling of 10361664 in words is "ten million, three hundred sixty-one thousand, six hundred sixty-four".