42687744 has 144 divisors (see below), whose sum is σ = 128722944. Its totient is φ = 12441600.

The previous prime is 42687727. The next prime is 42687761. The reversal of 42687744 is 44778624.

It is an interprime number because it is at equal distance from previous prime (42687727) and next prime (42687761).

It is a super-3 number, since 3×42687744³ (a number of 24 digits) contains 333 as substring.

Its product of digits (301056) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 42687696 and 42687705.

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, 261807 + ... + 261969.

Almost surely, 2^42687744 is an apocalyptic number.

42687744 is a gapful number since it is divisible by the number (44) 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 42687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64361472).

42687744 is an abundant number, since it is smaller than the sum of its proper divisors (86035200).

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

42687744 is a wasteful number, since it uses less digits than its factorization.

42687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 42687744 is about 6533.5858454604. The cubic root of 42687744 is about 349.4897162555.

It can be divided in two parts, 42 and 687744, that added together give a palindrome (687786).

The spelling of 42687744 in words is "forty-two million, six hundred eighty-seven thousand, seven hundred forty-four".