42912600 has 96 divisors (see below), whose sum is σ = 136695120. Its totient is φ = 11128320.

The previous prime is 42912599. The next prime is 42912619. The reversal of 42912600 is 621924.

42912600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21234 + ... + 23166.

Almost surely, 2^42912600 is an apocalyptic number.

42912600 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 42912600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68347560).

42912600 is an abundant number, since it is smaller than the sum of its proper divisors (93782520).

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

42912600 is a wasteful number, since it uses less digits than its factorization.

42912600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42912600 is about 6550.7709469955. The cubic root of 42912600 is about 350.1022830313.

The spelling of 42912600 in words is "forty-two million, nine hundred twelve thousand, six hundred".