42534600 has 48 divisors (see below), whose sum is σ = 131859120. Its totient is φ = 11342400.

The previous prime is 42534599. The next prime is 42534601. The reversal of 42534600 is 643524.

It is an interprime number because it is at equal distance from previous prime (42534599) and next prime (42534601).

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

It is not an unprimeable number, because it can be changed into a prime (42534601) 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, 34846 + ... + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (2747065).

Almost surely, 2^42534600 is an apocalyptic number.

42534600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42534600 is an abundant number, since it is smaller than the sum of its proper divisors (89324520).

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

42534600 is a wasteful number, since it uses less digits than its factorization.

42534600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70910 (or 70901 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42534600 is about 6521.8555641780. The cubic root of 42534600 is about 349.0712793275.

It can be divided in two parts, 42534 and 600, that added together give a palindrome (43134).

The spelling of 42534600 in words is "forty-two million, five hundred thirty-four thousand, six hundred".