5941680 has 80 divisors (see below), whose sum is σ = 19403520. Its totient is φ = 1499904.

The previous prime is 5941657. The next prime is 5941709. The reversal of 5941680 is 861495.

5941680 = T₁₄₉ + T₁₅₀ + ... + T₃₃₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5941680² = 70607122444800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 3909 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (242544).

Almost surely, 2^5941680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701760).

5941680 is an abundant number, since it is smaller than the sum of its proper divisors (13461840).

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

5941680 is a wasteful number, since it uses less digits than its factorization.

5941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5941680 is about 2437.5561531993. The cubic root of 5941680 is about 181.1213943027.

The spelling of 5941680 in words is "five million, nine hundred forty-one thousand, six hundred eighty".