10712160 has 144 divisors (see below), whose sum is σ = 37621584. Its totient is φ = 2774016.

The previous prime is 10712137. The next prime is 10712173. The reversal of 10712160 is 6121701.

10712160 = T₂₈₃ + T₂₈₄ + ... + T₄₄₂.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10712160² = 229500743731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61834 + ... + 62006.

It is an arithmetic number, because the mean of its divisors is an integer number (261261).

Almost surely, 2^10712160 is an apocalyptic number.

10712160 is a gapful number since it is divisible by the number (10) 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 10712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810792).

10712160 is an abundant number, since it is smaller than the sum of its proper divisors (26909424).

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

10712160 is a wasteful number, since it uses less digits than its factorization.

10712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10712160 is about 3272.9436292121. The cubic root of 10712160 is about 220.4409887282.

Adding to 10712160 its reverse (6121701), we get a palindrome (16833861).

The spelling of 10712160 in words is "ten million, seven hundred twelve thousand, one hundred sixty".