42892560 has 120 divisors (see below), whose sum is σ = 147662424. Its totient is φ = 11151360.

The previous prime is 42892541. The next prime is 42892573. The reversal of 42892560 is 6529824.

It is a happy number.

42892560 is a `hidden beast` number, since 4 + 2 + 8 + 92 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 37748736 = 2268^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 28794 + ... + 30246.

Almost surely, 2^42892560 is an apocalyptic number.

42892560 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 42892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73831212).

42892560 is an abundant number, since it is smaller than the sum of its proper divisors (104769864).

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

42892560 is a wasteful number, since it uses less digits than its factorization.

42892560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42892560 is about 6549.2411774190. The cubic root of 42892560 is about 350.0477757911.

The spelling of 42892560 in words is "forty-two million, eight hundred ninety-two thousand, five hundred sixty".