42653780 has 48 divisors (see below), whose sum is σ = 99807120. Its totient is φ = 15203328.

The previous prime is 42653777. The next prime is 42653791. The reversal of 42653780 is 8735624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9314704 + 33339076 = 3052^2 + 5774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42653780.

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 15 ways as a sum of consecutive naturals, for example, 4712 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (2079315).

Almost surely, 2^42653780 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 42653780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49903560).

42653780 is an abundant number, since it is smaller than the sum of its proper divisors (57153340).

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

42653780 is a wasteful number, since it uses less digits than its factorization.

42653780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 42653780 is about 6530.9861429956. The cubic root of 42653780 is about 349.3970025388.

The spelling of 42653780 in words is "forty-two million, six hundred fifty-three thousand, seven hundred eighty".