42601000 has 128 divisors (see below), whose sum is σ = 112039200. Its totient is φ = 15052800.

The previous prime is 42600979. The next prime is 42601049. The reversal of 42601000 is 10624.

It can be written as a sum of positive squares in 16 ways, for example, as 18610596 + 23990404 = 4314^2 + 4898^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 376944 + ... + 377056.

Almost surely, 2^42601000 is an apocalyptic number.

42601000 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 42601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

42601000 is an abundant number, since it is smaller than the sum of its proper divisors (69438200).

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

42601000 is a wasteful number, since it uses less digits than its factorization.

42601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42601000 is about 6526.9441548094. The cubic root of 42601000 is about 349.2528278574.

Adding to 42601000 its reverse (10624), we get a palindrome (42611624).

The spelling of 42601000 in words is "forty-two million, six hundred one thousand".