54535680 has 200 divisors, whose sum is σ = 196072272. Its totient is φ = 14487552.

The previous prime is 54535673. The next prime is 54535703. The reversal of 54535680 is 8653545.

54535680 is a `hidden beast` number, since 545 + 35 + 6 + 80 = 666.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207229 + ... + 207491.

Almost surely, 2^54535680 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 54535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98036136).

54535680 is an abundant number, since it is smaller than the sum of its proper divisors (141536592).

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

54535680 is an equidigital number, since it uses as much as digits as its factorization.

54535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54535680 is about 7384.8276892559. The cubic root of 54535680 is about 379.2220464670. Note that the first 3 decimals are identical.

The spelling of 54535680 in words is "fifty-four million, five hundred thirty-five thousand, six hundred eighty".