42642936 has 240 divisors, whose sum is σ = 148975200. Its totient is φ = 11321856.

The previous prime is 42642913. The next prime is 42642967. The reversal of 42642936 is 63924624.

42642936 is a `hidden beast` number, since 4 + 2 + 642 + 9 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (62208) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 42642936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 539745 + ... + 539823.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 2^42642936 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 42642936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487600).

42642936 is an abundant number, since it is smaller than the sum of its proper divisors (106332264).

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

42642936 is a wasteful number, since it uses less digits than its factorization.

42642936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42642936 is about 6530.1558940044. The cubic root of 42642936 is about 349.3673906090.

The spelling of 42642936 in words is "forty-two million, six hundred forty-two thousand, nine hundred thirty-six".