42925680 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 9179136.

The previous prime is 42925667. The next prime is 42925681. The reversal of 42925680 is 8652924.

It is a happy number.

42925680 is a `hidden beast` number, since 4 + 2 + 92 + 568 + 0 = 666.

It is a super-2 number, since 2×42925680² = 3685228006924800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42925681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256957 + ... + 257123.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^42925680 is an apocalyptic number.

42925680 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 42925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

42925680 is an abundant number, since it is smaller than the sum of its proper divisors (137062800).

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

42925680 is a wasteful number, since it uses less digits than its factorization.

42925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42925680 is about 6551.7692267051. The cubic root of 42925680 is about 350.1378504612.

The spelling of 42925680 in words is "forty-two million, nine hundred twenty-five thousand, six hundred eighty".