42633600 has 96 divisors (see below), whose sum is σ = 140456040. Its totient is φ = 11366400.

The previous prime is 42633593. The next prime is 42633607. The reversal of 42633600 is 633624.

It is an interprime number because it is at equal distance from previous prime (42633593) and next prime (42633607).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7380 + ... + 11820.

Almost surely, 2^42633600 is an apocalyptic number.

42633600 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 42633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70228020).

42633600 is an abundant number, since it is smaller than the sum of its proper divisors (97822440).

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

42633600 is a wasteful number, since it uses less digits than its factorization.

42633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 42633600 is about 6529.4410174225. The cubic root of 42633600 is about 349.3418925834.

Adding to 42633600 its sum of digits (24), we get a palindrome (42633624).

The spelling of 42633600 in words is "forty-two million, six hundred thirty-three thousand, six hundred".