10671120 has 60 divisors (see below), whose sum is σ = 35839596. Its totient is φ = 2845440.

The previous prime is 10671119. The next prime is 10671127. The reversal of 10671120 is 2117601.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 6411024 = 2064^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10671120² = 227745604108800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10671093 and 10671102.

It is not an unprimeable number, because it can be changed into a prime (10671127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6691 + ... + 8130.

Almost surely, 2^10671120 is an apocalyptic number.

10671120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10671120 is an abundant number, since it is smaller than the sum of its proper divisors (25168476).

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

10671120 is a wasteful number, since it uses less digits than its factorization.

10671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14840 (or 14831 counting only the distinct ones).

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

The square root of 10671120 is about 3266.6680272106. The cubic root of 10671120 is about 220.1591135446.

Adding to 10671120 its reverse (2117601), we get a palindrome (12788721).

It can be divided in two parts, 1067 and 1120, that added together give a 7-th power (2187 = 3⁷).

The spelling of 10671120 in words is "ten million, six hundred seventy-one thousand, one hundred twenty".