542820096 has 288 divisors, whose sum is σ = 1977937920. Its totient is φ = 142995456.

The previous prime is 542820073. The next prime is 542820107. The reversal of 542820096 is 690028245.

It is a happy number.

542820096 is a `hidden beast` number, since 542 + 8 + 20 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 542820096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628561 + ... + 629423.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^542820096 is an apocalyptic number.

542820096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

542820096 is an abundant number, since it is smaller than the sum of its proper divisors (1435117824).

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

542820096 is a wasteful number, since it uses less digits than its factorization.

542820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 542820096 is about 23298.4998658712. The cubic root of 542820096 is about 815.7404018506.

The spelling of 542820096 in words is "five hundred forty-two million, eight hundred twenty thousand, ninety-six".