5461600 has 36 divisors (see below), whose sum is σ = 13335084. Its totient is φ = 2184320.

The previous prime is 5461567. The next prime is 5461613. The reversal of 5461600 is 61645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2614 + ... + 4213.

It is an arithmetic number, because the mean of its divisors is an integer number (370419).

Almost surely, 2^5461600 is an apocalyptic number.

5461600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5461600 is an abundant number, since it is smaller than the sum of its proper divisors (7873484).

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

5461600 is a wasteful number, since it uses less digits than its factorization.

5461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5461600 is about 2337.0066324253. The cubic root of 5461600 is about 176.1056528174.

The spelling of 5461600 in words is "five million, four hundred sixty-one thousand, six hundred".