542871680 has 128 divisors (see below), whose sum is σ = 1418860800. Its totient is φ = 197406720.

The previous prime is 542871649. The next prime is 542871683. The reversal of 542871680 is 86178245.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542871683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590261 + ... + 591179.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^542871680 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 542871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709430400).

542871680 is an abundant number, since it is smaller than the sum of its proper divisors (875989120).

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

542871680 is a wasteful number, since it uses less digits than its factorization.

542871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 542871680 is about 23299.6068636361. The cubic root of 542871680 is about 815.7662408719.

The spelling of 542871680 in words is "five hundred forty-two million, eight hundred seventy-one thousand, six hundred eighty".