42797160 has 384 divisors, whose sum is σ = 179262720. Its totient is φ = 8957952.

The previous prime is 42797159. The next prime is 42797191. The reversal of 42797160 is 6179724.

42797160 = 386² + 387² + ... + 570².

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1156662 + ... + 1156698.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^42797160 is an apocalyptic number.

42797160 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 42797160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

42797160 is an abundant number, since it is smaller than the sum of its proper divisors (136465560).

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

42797160 is a wasteful number, since it uses less digits than its factorization.

42797160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 42797160 is about 6541.9538365843. The cubic root of 42797160 is about 349.7880621660.

The spelling of 42797160 in words is "forty-two million, seven hundred ninety-seven thousand, one hundred sixty".