42674688 has 240 divisors, whose sum is σ = 148948800. Its totient is φ = 12192768.

The previous prime is 42674669. The next prime is 42674717. The reversal of 42674688 is 88647624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×42674688² = 3642257991794688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (516096) is a multiple of the sum of its prime divisors (12).

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, 6096381 + ... + 6096387.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 2^42674688 is an apocalyptic number.

42674688 is a gapful number since it is divisible by the number (48) 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 42674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

42674688 is an abundant number, since it is smaller than the sum of its proper divisors (106274112).

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

42674688 is an frugal number, since it uses more digits than its factorization.

42674688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42674688 is about 6532.5866239951. The cubic root of 42674688 is about 349.4540822727.

The spelling of 42674688 in words is "forty-two million, six hundred seventy-four thousand, six hundred eighty-eight".