10352664 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2868480.

The previous prime is 10352653. The next prime is 10352689. The reversal of 10352664 is 46625301.

10352664 = T₁₁₂ + T₁₁₃ + ... + T₃₉₈.

10352664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61909 + ... + 62075.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^10352664 is an apocalyptic number.

10352664 is a gapful number since it is divisible by the number (14) 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 10352664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10352664 is an abundant number, since it is smaller than the sum of its proper divisors (23516136).

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

10352664 is a wasteful number, since it uses less digits than its factorization.

10352664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 10352664 is about 3217.5555939253. Note that the first 4 decimals coincide. The cubic root of 10352664 is about 217.9469051180.

Adding to 10352664 its reverse (46625301), we get a palindrome (56977965).

The spelling of 10352664 in words is "ten million, three hundred fifty-two thousand, six hundred sixty-four".