54176640 has 256 divisors, whose sum is σ = 205632000. Its totient is φ = 11870208.

The previous prime is 54176627. The next prime is 54176641. The reversal of 54176640 is 4667145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54176641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389691 + ... + 389829.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^54176640 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 54176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

54176640 is an abundant number, since it is smaller than the sum of its proper divisors (151455360).

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

54176640 is a wasteful number, since it uses less digits than its factorization.

54176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54176640 is about 7360.4782453316. The cubic root of 54176640 is about 378.3880005790.

The spelling of 54176640 in words is "fifty-four million, one hundred seventy-six thousand, six hundred forty".