10695672 has 96 divisors (see below), whose sum is σ = 32281200. Its totient is φ = 3279744.

The previous prime is 10695647. The next prime is 10695673. The reversal of 10695672 is 27659601.

It is a super-2 number, since 2×10695672² = 228794799063168, 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 not an unprimeable number, because it can be changed into a prime (10695673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36358 + ... + 36650.

Almost surely, 2^10695672 is an apocalyptic number.

10695672 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 10695672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140600).

10695672 is an abundant number, since it is smaller than the sum of its proper divisors (21585528).

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

10695672 is a wasteful number, since it uses less digits than its factorization.

10695672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

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

The square root of 10695672 is about 3270.4238257449. The cubic root of 10695672 is about 220.3278308028.

The spelling of 10695672 in words is "ten million, six hundred ninety-five thousand, six hundred seventy-two".