10676952 has 192 divisors, whose sum is σ = 36560160. Its totient is φ = 2764800.

The previous prime is 10676923. The next prime is 10676971. The reversal of 10676952 is 25967601.

10676952 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 2×10676952² = 227994608020608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175002 + ... + 175062.

Almost surely, 2^10676952 is an apocalyptic number.

10676952 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 10676952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

10676952 is an abundant number, since it is smaller than the sum of its proper divisors (25883208).

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

10676952 is a wasteful number, since it uses less digits than its factorization.

10676952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10676952 is about 3267.5605579698. The cubic root of 10676952 is about 220.1992134940.

It can be divided in two parts, 10676 and 952, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10676952 in words is "ten million, six hundred seventy-six thousand, nine hundred fifty-two".