42897600 has 210 divisors, whose sum is σ = 158157164. Its totient is φ = 11404800.

The previous prime is 42897587. The next prime is 42897607. The reversal of 42897600 is 679824.

42897600 = T₁₈₄₀ + T₁₈₄₁ + ... + T₁₈₆₄.

42897600 is a `hidden beast` number, since 42 + 8 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42897607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129435 + ... + 129765.

Almost surely, 2^42897600 is an apocalyptic number.

42897600 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 42897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79078582).

42897600 is an abundant number, since it is smaller than the sum of its proper divisors (115259564).

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

42897600 is a wasteful number, since it uses less digits than its factorization.

42897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42897600 is about 6549.6259435177. The cubic root of 42897600 is about 350.0614857966.

The spelling of 42897600 in words is "forty-two million, eight hundred ninety-seven thousand, six hundred".