42939600 has 120 divisors (see below), whose sum is σ = 150100512. Its totient is φ = 10406400.

The previous prime is 42939599. The next prime is 42939607. The reversal of 42939600 is 693924.

42939600 = 320² + 321² + ... + 544².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42939607) 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, 11574 + ... + 14826.

Almost surely, 2^42939600 is an apocalyptic number.

42939600 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 42939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75050256).

42939600 is an abundant number, since it is smaller than the sum of its proper divisors (107160912).

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

42939600 is a wasteful number, since it uses less digits than its factorization.

42939600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 42939600 is about 6552.8314490760. The cubic root of 42939600 is about 350.1756941027.

The spelling of 42939600 in words is "forty-two million, nine hundred thirty-nine thousand, six hundred".