5366400 has 192 divisors, whose sum is σ = 19477920. Its totient is φ = 1290240.

The previous prime is 5366399. The next prime is 5366401. The reversal of 5366400 is 46635.

It is an interprime number because it is at equal distance from previous prime (5366399) and next prime (5366401).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5366401) 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, 124779 + ... + 124821.

Almost surely, 2^5366400 is an apocalyptic number.

5366400 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 5366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738960).

5366400 is an abundant number, since it is smaller than the sum of its proper divisors (14111520).

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

5366400 is a wasteful number, since it uses less digits than its factorization.

5366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5366400 is about 2316.5491576912. The cubic root of 5366400 is about 175.0764292006.

The spelling of 5366400 in words is "five million, three hundred sixty-six thousand, four hundred".