42921648 has 240 divisors, whose sum is σ = 154752000. Its totient is φ = 11007360.

The previous prime is 42921643. The next prime is 42921677. The reversal of 42921648 is 84612924.

42921648 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 1 + 648 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42921643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543273 + ... + 543351.

It is an arithmetic number, because the mean of its divisors is an integer number (644800).

Almost surely, 2^42921648 is an apocalyptic number.

42921648 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 42921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376000).

42921648 is an abundant number, since it is smaller than the sum of its proper divisors (111830352).

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

42921648 is a wasteful number, since it uses less digits than its factorization.

42921648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42921648 is about 6551.4615163336. The cubic root of 42921648 is about 350.1268873266.

The spelling of 42921648 in words is "forty-two million, nine hundred twenty-one thousand, six hundred forty-eight".