42658560 has 324 divisors, whose sum is σ = 176331792. Its totient is φ = 9326592.

The previous prime is 42658547. The next prime is 42658601. The reversal of 42658560 is 6585624.

42658560 is a `hidden beast` number, since 42 + 6 + 58 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1854709 + ... + 1854731.

Almost surely, 2^42658560 is an apocalyptic number.

42658560 is a gapful number since it is divisible by the number (40) 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 42658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88165896).

42658560 is an abundant number, since it is smaller than the sum of its proper divisors (133673232).

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

42658560 is a wasteful number, since it uses less digits than its factorization.

42658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42658560 is about 6531.3520805420. The cubic root of 42658560 is about 349.4100537877.

The spelling of 42658560 in words is "forty-two million, six hundred fifty-eight thousand, five hundred sixty".