42631800 has 96 divisors (see below), whose sum is σ = 135460080. Its totient is φ = 11084800.

The previous prime is 42631751. The next prime is 42631817. The reversal of 42631800 is 813624.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23734 + ... + 25466.

Almost surely, 2^42631800 is an apocalyptic number.

42631800 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 42631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67730040).

42631800 is an abundant number, since it is smaller than the sum of its proper divisors (92828280).

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

42631800 is a wasteful number, since it uses less digits than its factorization.

42631800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42631800 is about 6529.3031787473. The cubic root of 42631800 is about 349.3369760836.

The spelling of 42631800 in words is "forty-two million, six hundred thirty-one thousand, eight hundred".