5481600 has 96 divisors (see below), whose sum is σ = 18086640. Its totient is φ = 1459200.

The previous prime is 5481583. The next prime is 5481607. The reversal of 5481600 is 61845.

It is a tau number, because it is divible by the number of its divisors (96).

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 (5481607) 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, 9315 + ... + 9885.

Almost surely, 2^5481600 is an apocalyptic number.

5481600 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 5481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043320).

5481600 is an abundant number, since it is smaller than the sum of its proper divisors (12605040).

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

5481600 is a wasteful number, since it uses less digits than its factorization.

5481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5481600 is about 2341.2817002659. The cubic root of 5481600 is about 176.3203531821.

The spelling of 5481600 in words is "five million, four hundred eighty-one thousand, six hundred".