5971680 has 288 divisors, whose sum is σ = 24766560. Its totient is φ = 1290240.

The previous prime is 5971673. The next prime is 5971699. The reversal of 5971680 is 861795.

5971680 is a `hidden beast` number, since 597 + 1 + 68 + 0 = 666.

5971680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 205906 + ... + 205934.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

Almost surely, 2^5971680 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 5971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

5971680 is an abundant number, since it is smaller than the sum of its proper divisors (18794880).

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

5971680 is a wasteful number, since it uses less digits than its factorization.

5971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5971680 is about 2443.7021095052. The cubic root of 5971680 is about 181.4257146541.

Multiplying 5971680 by its sum of digits (36), we get a triangular number (214980480 = T₂₀₇₃₅).

The spelling of 5971680 in words is "five million, nine hundred seventy-one thousand, six hundred eighty".