6671520 has 144 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 1720320.

The previous prime is 6671519. The next prime is 6671549. The reversal of 6671520 is 251766.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 5143824 = 1236^2 + 2268^2 .

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

It is a super-2 number, since 2×6671520² = 89018358220800, which contains 22 as substring.

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, 58984 + ... + 59096.

Almost surely, 2^6671520 is an apocalyptic number.

6671520 is a gapful number since it is divisible by the number (60) 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 6671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

6671520 is an abundant number, since it is smaller than the sum of its proper divisors (16856712).

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

6671520 is a wasteful number, since it uses less digits than its factorization.

6671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 6671520 is about 2582.9285704409. The cubic root of 6671520 is about 188.2528663130.

It can be divided in two parts, 667 and 1520, that added together give a 7-th power (2187 = 3⁷).

The spelling of 6671520 in words is "six million, six hundred seventy-one thousand, five hundred twenty".