10526672 has 60 divisors (see below), whose sum is σ = 23486220. Its totient is φ = 4552704.

The previous prime is 10526657. The next prime is 10526687. The reversal of 10526672 is 27662501.

It is an interprime number because it is at equal distance from previous prime (10526657) and next prime (10526687).

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 10523536 = 56^2 + 3244^2 .

It is a super-2 number, since 2×10526672² = 221621646791168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45854 + ... + 46082.

It is an arithmetic number, because the mean of its divisors is an integer number (391437).

Almost surely, 2^10526672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10526672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743110).

10526672 is an abundant number, since it is smaller than the sum of its proper divisors (12959548).

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

10526672 is a wasteful number, since it uses less digits than its factorization.

10526672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10526672 is about 3244.4833178798. The cubic root of 10526672 is about 219.1612137672.

The spelling of 10526672 in words is "ten million, five hundred twenty-six thousand, six hundred seventy-two".