54349632 has 84 divisors (see below), whose sum is σ = 157036516. Its totient is φ = 17971200.

The previous prime is 54349627. The next prime is 54349643. The reversal of 54349632 is 23694345.

54349632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 22810176 = 5616^2 + 4776^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90132 + ... + 90732.

Almost surely, 2^54349632 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 54349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78518258).

54349632 is an abundant number, since it is smaller than the sum of its proper divisors (102686884).

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

54349632 is a wasteful number, since it uses less digits than its factorization.

54349632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 54349632 is about 7372.2202897092. The cubic root of 54349632 is about 378.7903175720.

The spelling of 54349632 in words is "fifty-four million, three hundred forty-nine thousand, six hundred thirty-two".