42649920 has 168 divisors, whose sum is σ = 149778720. Its totient is φ = 11136000.

The previous prime is 42649897. The next prime is 42649933. The reversal of 42649920 is 2994624.

42649920 is a `hidden beast` number, since 4 + 2 + 649 + 9 + 2 + 0 = 666.

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

It is a congruent number.

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, 169795 + ... + 170045.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^42649920 is an apocalyptic number.

42649920 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 42649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

42649920 is an abundant number, since it is smaller than the sum of its proper divisors (107128800).

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

42649920 is a wasteful number, since it uses less digits than its factorization.

42649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42649920 is about 6530.6906219787. The cubic root of 42649920 is about 349.3864625342.

The spelling of 42649920 in words is "forty-two million, six hundred forty-nine thousand, nine hundred twenty".