128562642 has 96 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 37169280.

The previous prime is 128562613. The next prime is 128562649. The reversal of 128562642 is 246265821.

It is a happy number.

128562642 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 6 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128562597 and 128562606.

It is not an unprimeable number, because it can be changed into a prime (128562649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268159 + ... + 268637.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^128562642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128562642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

128562642 is an abundant number, since it is smaller than the sum of its proper divisors (190126638).

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

128562642 is a wasteful number, since it uses less digits than its factorization.

128562642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 128562642 is about 11338.5467322757. The cubic root of 128562642 is about 504.7057620009.

The spelling of 128562642 in words is "one hundred twenty-eight million, five hundred sixty-two thousand, six hundred forty-two".