42661296 has 160 divisors (see below), whose sum is σ = 134009280. Its totient is φ = 12939264.

The previous prime is 42661277. The next prime is 42661331. The reversal of 42661296 is 69216624.

42661296 = T₄₃ + T₄₄ + ... + T₆₃₄.

42661296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 42661296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271650 + ... + 271806.

It is an arithmetic number, because the mean of its divisors is an integer number (837558).

Almost surely, 2^42661296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42661296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67004640).

42661296 is an abundant number, since it is smaller than the sum of its proper divisors (91347984).

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

42661296 is a wasteful number, since it uses less digits than its factorization.

42661296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42661296 is about 6531.5615284555. The cubic root of 42661296 is about 349.4175236872.

The spelling of 42661296 in words is "forty-two million, six hundred sixty-one thousand, two hundred ninety-six".