42684552 has 96 divisors (see below), whose sum is σ = 125405280. Its totient is φ = 13063680.

The previous prime is 42684541. The next prime is 42684563. The reversal of 42684552 is 25548624.

It is a happy number.

42684552 is a `hidden beast` number, since 4 + 26 + 84 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (42684541) and next prime (42684563).

It is a super-3 number, since 3×42684552³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52227 + ... + 53037.

It is an arithmetic number, because the mean of its divisors is an integer number (1306305).

Almost surely, 2^42684552 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 42684552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62702640).

42684552 is an abundant number, since it is smaller than the sum of its proper divisors (82720728).

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

42684552 is a wasteful number, since it uses less digits than its factorization.

42684552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42684552 is about 6533.3415646207. The cubic root of 42684552 is about 349.4810049419.

The spelling of 42684552 in words is "forty-two million, six hundred eighty-four thousand, five hundred fifty-two".