42616800 has 144 divisors (see below), whose sum is σ = 154208880. Its totient is φ = 11358720.

The previous prime is 42616771. The next prime is 42616801. The reversal of 42616800 is 861624.

42616800 is a `hidden beast` number, since 42 + 616 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42616801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20614 + ... + 22586.

It is an arithmetic number, because the mean of its divisors is an integer number (1070895).

Almost surely, 2^42616800 is an apocalyptic number.

42616800 is a gapful number since it is divisible by the number (40) 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 42616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77104440).

42616800 is an abundant number, since it is smaller than the sum of its proper divisors (111592080).

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

42616800 is a wasteful number, since it uses less digits than its factorization.

42616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42616800 is about 6528.1544099385. The cubic root of 42616800 is about 349.2959998692.

The spelling of 42616800 in words is "forty-two million, six hundred sixteen thousand, eight hundred".