42892320 has 96 divisors (see below), whose sum is σ = 136104192. Its totient is φ = 11354112.

The previous prime is 42892303. The next prime is 42892321. The reversal of 42892320 is 2329824.

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

It is a super-2 number, since 2×42892320² = 3679502229964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42892321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92409 + ... + 92871.

It is an arithmetic number, because the mean of its divisors is an integer number (1417752).

Almost surely, 2^42892320 is an apocalyptic number.

42892320 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 42892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68052096).

42892320 is an abundant number, since it is smaller than the sum of its proper divisors (93211872).

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

42892320 is a wasteful number, since it uses less digits than its factorization.

42892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42892320 is about 6549.2228546599. Note that the first 3 decimals coincide. The cubic root of 42892320 is about 350.0471229069.

The spelling of 42892320 in words is "forty-two million, eight hundred ninety-two thousand, three hundred twenty".