42827520 has 144 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 10801152.

The previous prime is 42827513. The next prime is 42827531. The reversal of 42827520 is 2572824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72667 + ... + 73253.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^42827520 is an apocalyptic number.

42827520 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 42827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

42827520 is an abundant number, since it is smaller than the sum of its proper divisors (101397120).

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

42827520 is a wasteful number, since it uses less digits than its factorization.

42827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42827520 is about 6544.2738329016. The cubic root of 42827520 is about 349.8707550005.

The spelling of 42827520 in words is "forty-two million, eight hundred twenty-seven thousand, five hundred twenty".