42920 has 32 divisors (see below), whose sum is σ = 102600. Its totient is φ = 16128.

The previous prime is 42901. The next prime is 42923. The reversal of 42920 is 2924.

42920 = 3² + 4² + ... + 50².

42920 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 2116 = 202^2 + 46^2 .

It is an Ulam number.

42920 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142 + ... + 1178.

2⁴²⁹²⁰ is an apocalyptic number.

42920 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 42920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51300).

42920 is an abundant number, since it is smaller than the sum of its proper divisors (59680).

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

42920 is a wasteful number, since it uses less digits than its factorization.

42920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42920 is about 207.1714266013. The cubic root of 42920 is about 35.0122406165.

The spelling of 42920 in words is "forty-two thousand, nine hundred twenty".