42632656 has 90 divisors (see below), whose sum is σ = 97393506. Its totient is φ = 18057600.

The previous prime is 42632647. The next prime is 42632663. The reversal of 42632656 is 65623624.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 17472400 = 5016^2 + 4180^2 .

It is a super-2 number, since 2×42632656² = 3635086715228672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 698866 + ... + 698926.

Almost surely, 2^42632656 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 42632656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48696753).

42632656 is an abundant number, since it is smaller than the sum of its proper divisors (54760850).

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

42632656 is a wasteful number, since it uses less digits than its factorization.

42632656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 42632656 is about 6529.3687290580. The cubic root of 42632656 is about 349.3393141696.

The spelling of 42632656 in words is "forty-two million, six hundred thirty-two thousand, six hundred fifty-six".