10706472 has 128 divisors (see below), whose sum is σ = 34809600. Its totient is φ = 2985984.

The previous prime is 10706461. The next prime is 10706473. The reversal of 10706472 is 27460701.

10706472 is a `hidden beast` number, since 10 + 7 + 0 + 647 + 2 = 666.

It is a super-2 number, since 2×10706472² = 229257085373568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10706473) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110328 + ... + 110424.

It is an arithmetic number, because the mean of its divisors is an integer number (271950).

Almost surely, 2^10706472 is an apocalyptic number.

10706472 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 10706472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404800).

10706472 is an abundant number, since it is smaller than the sum of its proper divisors (24103128).

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

10706472 is a wasteful number, since it uses less digits than its factorization.

10706472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10706472 is about 3272.0745712774. The cubic root of 10706472 is about 220.4019648421.

The spelling of 10706472 in words is "ten million, seven hundred six thousand, four hundred seventy-two".