42621720 has 96 divisors (see below), whose sum is σ = 135939600. Its totient is φ = 10688512.

The previous prime is 42621701. The next prime is 42621727. The reversal of 42621720 is 2712624.

It is a super-2 number, since 2×42621720² = 3633222031516800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42621727) 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 23 ways as a sum of consecutive naturals, for example, 34066 + ... + 35294.

Almost surely, 2^42621720 is an apocalyptic number.

42621720 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 42621720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67969800).

42621720 is an abundant number, since it is smaller than the sum of its proper divisors (93317880).

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

42621720 is a wasteful number, since it uses less digits than its factorization.

42621720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42621720 is about 6528.5312283851. The cubic root of 42621720 is about 349.3094411270.

The spelling of 42621720 in words is "forty-two million, six hundred twenty-one thousand, seven hundred twenty".