42675360 has 192 divisors, whose sum is σ = 165618432. Its totient is φ = 8994816.

The previous prime is 42675343. The next prime is 42675377. The reversal of 42675360 is 6357624.

It is an interprime number because it is at equal distance from previous prime (42675343) and next prime (42675377).

It is a super-2 number, since 2×42675360² = 3642372702259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43192 + ... + 44168.

It is an arithmetic number, because the mean of its divisors is an integer number (862596).

Almost surely, 2^42675360 is an apocalyptic number.

42675360 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 42675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82809216).

42675360 is an abundant number, since it is smaller than the sum of its proper divisors (122943072).

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

42675360 is a wasteful number, since it uses less digits than its factorization.

42675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 42675360 is about 6532.6380582426. The cubic root of 42675360 is about 349.4559165522.

The spelling of 42675360 in words is "forty-two million, six hundred seventy-five thousand, three hundred sixty".