42601520 has 120 divisors (see below), whose sum is σ = 112733856. Its totient is φ = 14936064.

The previous prime is 42601513. The next prime is 42601523. The reversal of 42601520 is 2510624.

42601520 = T₄₁₅ + T₄₁₆ + ... + T₆₈₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42601492 and 42601501.

It is not an unprimeable number, because it can be changed into a prime (42601523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310892 + ... + 311028.

Almost surely, 2^42601520 is an apocalyptic number.

42601520 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 42601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56366928).

42601520 is an abundant number, since it is smaller than the sum of its proper divisors (70132336).

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

42601520 is a wasteful number, since it uses less digits than its factorization.

42601520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42601520 is about 6526.9839895621. The cubic root of 42601520 is about 349.2542488783.

The spelling of 42601520 in words is "forty-two million, six hundred one thousand, five hundred twenty".