10710672 has 80 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 3024000.

The previous prime is 10710671. The next prime is 10710673. The reversal of 10710672 is 27601701.

It is an interprime number because it is at equal distance from previous prime (10710671) and next prime (10710673).

It is a super-2 number, since 2×10710672² = 229436989383168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10710671) 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 15 ways as a sum of consecutive naturals, for example, 42547 + ... + 42797.

Almost surely, 2^10710672 is an apocalyptic number.

10710672 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 10710672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

10710672 is an abundant number, since it is smaller than the sum of its proper divisors (21287280).

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

10710672 is a wasteful number, since it uses less digits than its factorization.

10710672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10710672 is about 3272.7163030119. The cubic root of 10710672 is about 220.4307812824.

The spelling of 10710672 in words is "ten million, seven hundred ten thousand, six hundred seventy-two".