42687840 has 96 divisors (see below), whose sum is σ = 144831456. Its totient is φ = 10506240.

The previous prime is 42687823. The next prime is 42687859. The reversal of 42687840 is 4878624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42687840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2820 + ... + 9660.

It is an arithmetic number, because the mean of its divisors is an integer number (1508661).

Almost surely, 2^42687840 is an apocalyptic number.

42687840 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 42687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72415728).

42687840 is an abundant number, since it is smaller than the sum of its proper divisors (102143616).

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

42687840 is a wasteful number, since it uses less digits than its factorization.

42687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42687840 is about 6533.5931921111. The cubic root of 42687840 is about 349.4899782432.

The spelling of 42687840 in words is "forty-two million, six hundred eighty-seven thousand, eight hundred forty".