54540624 has 80 divisors (see below), whose sum is σ = 151061760. Its totient is φ = 16896000.

The previous prime is 54540601. The next prime is 54540653. The reversal of 54540624 is 42604545.

It is a junction number, because it is equal to n+sod(n) for n = 54540591 and 54540600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72249 + ... + 72999.

It is an arithmetic number, because the mean of its divisors is an integer number (1888272).

Almost surely, 2^54540624 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 54540624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75530880).

54540624 is an abundant number, since it is smaller than the sum of its proper divisors (96521136).

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

54540624 is a wasteful number, since it uses less digits than its factorization.

54540624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 54540624 is about 7385.1624220460. The cubic root of 54540624 is about 379.2335057363.

The spelling of 54540624 in words is "fifty-four million, five hundred forty thousand, six hundred twenty-four".