5400864 has 192 divisors, whose sum is σ = 19353600. Its totient is φ = 1430784.

The previous prime is 5400847. The next prime is 5400877. The reversal of 5400864 is 4680045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114889 + ... + 114935.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 2^5400864 is an apocalyptic number.

5400864 is a gapful number since it is divisible by the number (54) 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 5400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

5400864 is an abundant number, since it is smaller than the sum of its proper divisors (13952736).

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

5400864 is a wasteful number, since it uses less digits than its factorization.

5400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5400864 is about 2323.9759034895. The cubic root of 5400864 is about 175.4504206505.

It can be divided in two parts, 5400 and 864, that multiplied together give a square (4665600 = 2160²).

The spelling of 5400864 in words is "five million, four hundred thousand, eight hundred sixty-four".