42946560 has 156 divisors (see below), whose sum is σ = 149502132. Its totient is φ = 11403264.

The previous prime is 42946549. The next prime is 42946567. The reversal of 42946560 is 6564924.

42946560 is a `hidden beast` number, since 4 + 2 + 94 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 31002624 = 3456^2 + 5568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42946567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184204 + ... + 184436.

It is an arithmetic number, because the mean of its divisors is an integer number (958347).

Almost surely, 2^42946560 is an apocalyptic number.

42946560 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 42946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74751066).

42946560 is an abundant number, since it is smaller than the sum of its proper divisors (106555572).

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

42946560 is a wasteful number, since it uses less digits than its factorization.

42946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42946560 is about 6553.3624956964. The cubic root of 42946560 is about 350.1946128565.

The spelling of 42946560 in words is "forty-two million, nine hundred forty-six thousand, five hundred sixty".