42678720 has 336 divisors, whose sum is σ = 175930560. Its totient is φ = 9289728.

The previous prime is 42678697. The next prime is 42678737. The reversal of 42678720 is 2787624.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 584604 + ... + 584676.

Almost surely, 2^42678720 is an apocalyptic number.

42678720 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 42678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87965280).

42678720 is an abundant number, since it is smaller than the sum of its proper divisors (133251840).

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

42678720 is a wasteful number, since it uses less digits than its factorization.

42678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42678720 is about 6532.8952234059. The cubic root of 42678720 is about 349.4650876606.

The spelling of 42678720 in words is "forty-two million, six hundred seventy-eight thousand, seven hundred twenty".