42963552 has 72 divisors (see below), whose sum is σ = 122882760. Its totient is φ = 14238720.

The previous prime is 42963523. The next prime is 42963553. The reversal of 42963552 is 25536924.

42963552 is a `hidden beast` number, since 42 + 9 + 63 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42963553) 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 11 ways as a sum of consecutive naturals, for example, 69099 + ... + 69717.

It is an arithmetic number, because the mean of its divisors is an integer number (1706705).

Almost surely, 2^42963552 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 42963552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

42963552 is an abundant number, since it is smaller than the sum of its proper divisors (79919208).

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

42963552 is a wasteful number, since it uses less digits than its factorization.

42963552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 42963552 is about 6554.6588011887. The cubic root of 42963552 is about 350.2407921256.

The spelling of 42963552 in words is "forty-two million, nine hundred sixty-three thousand, five hundred fifty-two".