5461632 has 96 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 1651200.

The previous prime is 5461627. The next prime is 5461637. The reversal of 5461632 is 2361645.

It is an interprime number because it is at equal distance from previous prime (5461627) and next prime (5461637).

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

It is a junction number, because it is equal to n+sod(n) for n = 5461596 and 5461605.

It is not an unprimeable number, because it can be changed into a prime (5461637) 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, 12457 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^5461632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

5461632 is an abundant number, since it is smaller than the sum of its proper divisors (11723328).

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

5461632 is a wasteful number, since it uses less digits than its factorization.

5461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5461632 is about 2337.0134787801. The cubic root of 5461632 is about 176.1059967562.

The spelling of 5461632 in words is "five million, four hundred sixty-one thousand, six hundred thirty-two".