42546720 has 96 divisors (see below), whose sum is σ = 135209088. Its totient is φ = 11245568.

The previous prime is 42546709. The next prime is 42546743. The reversal of 42546720 is 2764524.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65437 + ... + 66083.

It is an arithmetic number, because the mean of its divisors is an integer number (1408428).

Almost surely, 2^42546720 is an apocalyptic number.

42546720 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 42546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67604544).

42546720 is an abundant number, since it is smaller than the sum of its proper divisors (92662368).

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

42546720 is a wasteful number, since it uses less digits than its factorization.

42546720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42546720 is about 6522.7846814072. The cubic root of 42546720 is about 349.1044314917.

The spelling of 42546720 in words is "forty-two million, five hundred forty-six thousand, seven hundred twenty".