42905616 has 80 divisors (see below), whose sum is σ = 123533760. Its totient is φ = 12741120.

The previous prime is 42905579. The next prime is 42905623. The reversal of 42905616 is 61650924.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 16911 + ... + 19281.

It is an arithmetic number, because the mean of its divisors is an integer number (1544172).

Almost surely, 2^42905616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61766880).

42905616 is an abundant number, since it is smaller than the sum of its proper divisors (80628144).

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

42905616 is a wasteful number, since it uses less digits than its factorization.

42905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42905616 is about 6550.2378582766. The cubic root of 42905616 is about 350.0832890218.

The spelling of 42905616 in words is "forty-two million, nine hundred five thousand, six hundred sixteen".