5867400 has 192 divisors, whose sum is σ = 22855680. Its totient is φ = 1209600.

The previous prime is 5867399. The next prime is 5867417. The reversal of 5867400 is 47685.

5867400 = 89² + 90² + ... + 263².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 46137 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^5867400 is an apocalyptic number.

5867400 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 5867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

5867400 is an abundant number, since it is smaller than the sum of its proper divisors (16988280).

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

5867400 is a wasteful number, since it uses less digits than its factorization.

5867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5867400 is about 2422.2716610653. The cubic root of 5867400 is about 180.3634631178.

The spelling of 5867400 in words is "five million, eight hundred sixty-seven thousand, four hundred".