42632800 has 144 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 13939200.

The previous prime is 42632797. The next prime is 42632801. The reversal of 42632800 is 823624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42632801) 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, 128635 + ... + 128965.

It is an arithmetic number, because the mean of its divisors is an integer number (864528).

Almost surely, 2^42632800 is an apocalyptic number.

42632800 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 42632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

42632800 is an abundant number, since it is smaller than the sum of its proper divisors (81859232).

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

42632800 is a wasteful number, since it uses less digits than its factorization.

42632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42632800 is about 6529.3797561484. The cubic root of 42632800 is about 349.3397074894.

It can be divided in two parts, 42632 and 800, that multiplied together give a square (34105600 = 5840²).

The spelling of 42632800 in words is "forty-two million, six hundred thirty-two thousand, eight hundred".