5971400 has 48 divisors (see below), whose sum is σ = 14108100. Its totient is φ = 2350080.

The previous prime is 5971391. The next prime is 5971409. The reversal of 5971400 is 41795.

It is an interprime number because it is at equal distance from previous prime (5971391) and next prime (5971409).

It can be written as a sum of positive squares in 6 ways, for example, as 3786916 + 2184484 = 1946^2 + 1478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5971400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5971409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14396 + ... + 14804.

Almost surely, 2^5971400 is an apocalyptic number.

5971400 is a gapful number since it is divisible by the number (50) 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 5971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054050).

5971400 is an abundant number, since it is smaller than the sum of its proper divisors (8136700).

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

5971400 is a wasteful number, since it uses less digits than its factorization.

5971400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 5971400 is about 2443.6448187083. The cubic root of 5971400 is about 181.4228790481.

The spelling of 5971400 in words is "five million, nine hundred seventy-one thousand, four hundred".