12610752 has 112 divisors (see below), whose sum is σ = 41647872. Its totient is φ = 3271680.

The previous prime is 12610727. The next prime is 12610777. The reversal of 12610752 is 25701621.

It is an interprime number because it is at equal distance from previous prime (12610727) and next prime (12610777).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14358 + ... + 15210.

It is an arithmetic number, because the mean of its divisors is an integer number (371856).

Almost surely, 2^12610752 is an apocalyptic number.

12610752 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 12610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20823936).

12610752 is an abundant number, since it is smaller than the sum of its proper divisors (29037120).

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

12610752 is a wasteful number, since it uses less digits than its factorization.

12610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 12610752 is about 3551.1620633252. The cubic root of 12610752 is about 232.7628476039.

It can be divided in two parts, 126 and 10752, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 12610752 in words is "twelve million, six hundred ten thousand, seven hundred fifty-two".