42293160 has 192 divisors, whose sum is σ = 169303680. Its totient is φ = 8916480.

The previous prime is 42293143. The next prime is 42293177. The reversal of 42293160 is 6139224.

It is an interprime number because it is at equal distance from previous prime (42293143) and next prime (42293177).

It is a super-2 number, since 2×42293160² = 3577422765571200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32115 + ... + 33405.

It is an arithmetic number, because the mean of its divisors is an integer number (881790).

Almost surely, 2^42293160 is an apocalyptic number.

42293160 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 42293160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

42293160 is an abundant number, since it is smaller than the sum of its proper divisors (127010520).

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

42293160 is a wasteful number, since it uses less digits than its factorization.

42293160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1321 counting only the distinct ones).

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

The square root of 42293160 is about 6503.3191525559. The cubic root of 42293160 is about 348.4095455799.

The spelling of 42293160 in words is "forty-two million, two hundred ninety-three thousand, one hundred sixty".