42684720 has 80 divisors (see below), whose sum is σ = 142511712. Its totient is φ = 10506240.

The previous prime is 42684709. The next prime is 42684751. The reversal of 42684720 is 2748624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×42684720³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 3721 + ... + 9960.

Almost surely, 2^42684720 is an apocalyptic number.

42684720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42684720 is an abundant number, since it is smaller than the sum of its proper divisors (99826992).

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

42684720 is a wasteful number, since it uses less digits than its factorization.

42684720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42684720 is about 6533.3544217347. The cubic root of 42684720 is about 349.4814634429.

The spelling of 42684720 in words is "forty-two million, six hundred eighty-four thousand, seven hundred twenty".