42059640 has 192 divisors, whose sum is σ = 153653760. Its totient is φ = 9166080.

The previous prime is 42059629. The next prime is 42059659. The reversal of 42059640 is 4695024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42059598 and 42059607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135085 + ... + 135395.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^42059640 is an apocalyptic number.

42059640 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 42059640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

42059640 is an abundant number, since it is smaller than the sum of its proper divisors (111594120).

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

42059640 is a wasteful number, since it uses less digits than its factorization.

42059640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42059640 is about 6485.3403919918. The cubic root of 42059640 is about 347.7671185994.

The spelling of 42059640 in words is "forty-two million, fifty-nine thousand, six hundred forty".