42932160 has 112 divisors (see below), whose sum is σ = 151485600. Its totient is φ = 11446272.

The previous prime is 42932159. The next prime is 42932161. The reversal of 42932160 is 6123924.

It is an interprime number because it is at equal distance from previous prime (42932159) and next prime (42932161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42932161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6156 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (1352550).

Almost surely, 2^42932160 is an apocalyptic number.

42932160 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 42932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75742800).

42932160 is an abundant number, since it is smaller than the sum of its proper divisors (108553440).

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

42932160 is a wasteful number, since it uses less digits than its factorization.

42932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42932160 is about 6552.2637309559. The cubic root of 42932160 is about 350.1554683464.

The spelling of 42932160 in words is "forty-two million, nine hundred thirty-two thousand, one hundred sixty".