42612642 has 40 divisors (see below), whose sum is σ = 101107116. Its totient is φ = 13367808.

The previous prime is 42612599. The next prime is 42612677. The reversal of 42612642 is 24621624.

42612642 is a `hidden beast` number, since 4 + 2 + 6 + 12 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42107121 + 505521 = 6489^2 + 711^2 .

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 19 ways as a sum of consecutive naturals, for example, 4983 + ... + 10490.

Almost surely, 2^42612642 is an apocalyptic number.

42612642 is an abundant number, since it is smaller than the sum of its proper divisors (58494474).

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

42612642 is a wasteful number, since it uses less digits than its factorization.

42612642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15504 (or 15495 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42612642 is about 6527.8359354383. The cubic root of 42612642 is about 349.2846395605.

It can be divided in two parts, 4261 and 2642, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 42612642 in words is "forty-two million, six hundred twelve thousand, six hundred forty-two".