42021936 has 160 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 12337920.

The previous prime is 42021923. The next prime is 42021949. The reversal of 42021936 is 63912024.

It is an interprime number because it is at equal distance from previous prime (42021923) and next prime (42021949).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175705 + ... + 175943.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^42021936 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 42021936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

42021936 is an abundant number, since it is smaller than the sum of its proper divisors (93683664).

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

42021936 is a wasteful number, since it uses less digits than its factorization.

42021936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42021936 is about 6482.4328766290. The cubic root of 42021936 is about 347.6631699248.

The spelling of 42021936 in words is "forty-two million, twenty-one thousand, nine hundred thirty-six".