5413680 has 120 divisors (see below), whose sum is σ = 18608928. Its totient is φ = 1410048.

The previous prime is 5413643. The next prime is 5413687. The reversal of 5413680 is 863145.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5413680² = 58615862284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5413687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52509 + ... + 52611.

Almost surely, 2^5413680 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 5413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304464).

5413680 is an abundant number, since it is smaller than the sum of its proper divisors (13195248).

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

5413680 is a wasteful number, since it uses less digits than its factorization.

5413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5413680 is about 2326.7316132292. The cubic root of 5413680 is about 175.5890895960.

It can be divided in two parts, 54 and 13680, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 5413680 in words is "five million, four hundred thirteen thousand, six hundred eighty".