42621408 has 72 divisors (see below), whose sum is σ = 127600200. Its totient is φ = 13457664.

The previous prime is 42621407. The next prime is 42621409. The reversal of 42621408 is 80412624.

It is an interprime number because it is at equal distance from previous prime (42621407) and next prime (42621409).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42621407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (1772225).

Almost surely, 2^42621408 is an apocalyptic number.

42621408 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 42621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63800100).

42621408 is an abundant number, since it is smaller than the sum of its proper divisors (84978792).

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

42621408 is a wasteful number, since it uses less digits than its factorization.

42621408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42621408 is about 6528.5073332271. The cubic root of 42621408 is about 349.3085887853.

The spelling of 42621408 in words is "forty-two million, six hundred twenty-one thousand, four hundred eight".