54672640 has 108 divisors (see below), whose sum is σ = 144353412. Its totient is φ = 19824640.

The previous prime is 54672637. The next prime is 54672641. The reversal of 54672640 is 4627645.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 33732864 = 4576^2 + 5808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54672596 and 54672605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54672641) 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, 154704 + ... + 155056.

Almost surely, 2^54672640 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 54672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176706).

54672640 is an abundant number, since it is smaller than the sum of its proper divisors (89680772).

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

54672640 is a wasteful number, since it uses less digits than its factorization.

54672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 54672640 is about 7394.0949412352. The cubic root of 54672640 is about 379.5392383989.

The spelling of 54672640 in words is "fifty-four million, six hundred seventy-two thousand, six hundred forty".