54583632 has 120 divisors (see below), whose sum is σ = 161135520. Its totient is φ = 17884800.

The previous prime is 54583619. The next prime is 54583643. The reversal of 54583632 is 23638545.

It is a happy number.

54583632 is a `hidden beast` number, since 545 + 83 + 6 + 32 = 666.

It is a super-2 number, since 2×54583632² = 5958745764622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392619 + ... + 392757.

It is an arithmetic number, because the mean of its divisors is an integer number (1342796).

Almost surely, 2^54583632 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 54583632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80567760).

54583632 is an abundant number, since it is smaller than the sum of its proper divisors (106551888).

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

54583632 is a wasteful number, since it uses less digits than its factorization.

54583632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54583632 is about 7388.0736325513. The cubic root of 54583632 is about 379.3331610525. Note that the first 3 decimals are identical.

The spelling of 54583632 in words is "fifty-four million, five hundred eighty-three thousand, six hundred thirty-two".