54401632 has 24 divisors (see below), whose sum is σ = 113404536. Its totient is φ = 25600512.

The previous prime is 54401587. The next prime is 54401639. The reversal of 54401632 is 23610445.

54401632 is a modest number, since divided by 1632 gives 544 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 54401597 and 54401606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49458 + ... + 50545.

It is an arithmetic number, because the mean of its divisors is an integer number (4725189).

Almost surely, 2^54401632 is an apocalyptic number.

It is an amenable number.

54401632 is an abundant number, since it is smaller than the sum of its proper divisors (59002904).

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

54401632 is a wasteful number, since it uses less digits than its factorization.

54401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100030 (or 100022 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54401632 is about 7375.7461995381. The cubic root of 54401632 is about 378.9110839094.

The spelling of 54401632 in words is "fifty-four million, four hundred one thousand, six hundred thirty-two".