10647252 has 144 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 2629440.

The previous prime is 10647251. The next prime is 10647257. The reversal of 10647252 is 25274601.

10647252 is a `hidden beast` number, since 10 + 647 + 2 + 5 + 2 = 666.

10647252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10647252² = 226727950303008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10647251) 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, 63673 + ... + 63839.

It is an arithmetic number, because the mean of its divisors is an integer number (244608).

Almost surely, 2^10647252 is an apocalyptic number.

10647252 is a gapful number since it is divisible by the number (12) 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 10647252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

10647252 is an abundant number, since it is smaller than the sum of its proper divisors (24576300).

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

10647252 is a wasteful number, since it uses less digits than its factorization.

10647252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10647252 is about 3263.0127183326. The cubic root of 10647252 is about 219.9948483642.

It can be divided in two parts, 10647 and 252, that multiplied together give a square (2683044 = 1638²).

The spelling of 10647252 in words is "ten million, six hundred forty-seven thousand, two hundred fifty-two".