5690880 has 240 divisors, whose sum is σ = 22342320. Its totient is φ = 1327104.

The previous prime is 5690857. The next prime is 5690891. The reversal of 5690880 is 880965.

5690880 = 11² + 12² + ... + 257².

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5690880² = 64772230348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 299511 + ... + 299529.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

Almost surely, 2^5690880 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 5690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

5690880 is an abundant number, since it is smaller than the sum of its proper divisors (16651440).

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

5690880 is a wasteful number, since it uses less digits than its factorization.

5690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5690880 is about 2385.5565388395. The cubic root of 5690880 is about 178.5362777288.

The spelling of 5690880 in words is "five million, six hundred ninety thousand, eight hundred eighty".