5401600 has 66 divisors (see below), whose sum is σ = 13452884. Its totient is φ = 2150400.

The previous prime is 5401559. The next prime is 5401603. The reversal of 5401600 is 61045.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5401603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25495 + ... + 25705.

Almost surely, 2^5401600 is an apocalyptic number.

5401600 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 5401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726442).

5401600 is an abundant number, since it is smaller than the sum of its proper divisors (8051284).

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

5401600 is a wasteful number, since it uses less digits than its factorization.

5401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5401600 is about 2324.1342474134. The cubic root of 5401600 is about 175.4583900942.

Adding to 5401600 its reverse (61045), we get a palindrome (5462645).

The spelling of 5401600 in words is "five million, four hundred one thousand, six hundred".