42262080 has 224 divisors, whose sum is σ = 161909760. Its totient is φ = 9123840.

The previous prime is 42262069. The next prime is 42262097. The reversal of 42262080 is 8026224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42262080.

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, 127515 + ... + 127845.

Almost surely, 2^42262080 is an apocalyptic number.

42262080 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 42262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954880).

42262080 is an abundant number, since it is smaller than the sum of its proper divisors (119647680).

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

42262080 is a wasteful number, since it uses less digits than its factorization.

42262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42262080 is about 6500.9291643580. The cubic root of 42262080 is about 348.3241793544.

The spelling of 42262080 in words is "forty-two million, two hundred sixty-two thousand, eighty".