54852624 has 60 divisors (see below), whose sum is σ = 154128156. Its totient is φ = 18210816.

The previous prime is 54852617. The next prime is 54852641. The reversal of 54852624 is 42625845.

It is a happy number.

54852624 is a `hidden beast` number, since 548 + 52 + 62 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 48441600 = 2532^2 + 6960^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44464 + ... + 45680.

Almost surely, 2^54852624 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 54852624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77064078).

54852624 is an abundant number, since it is smaller than the sum of its proper divisors (99275532).

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

54852624 is a wasteful number, since it uses less digits than its factorization.

54852624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 54852624 is about 7406.2557341750. The cubic root of 54852624 is about 379.9552671258.

The spelling of 54852624 in words is "fifty-four million, eight hundred fifty-two thousand, six hundred twenty-four".