88141632 has 56 divisors (see below), whose sum is σ = 235525056. Its totient is φ = 29088768.

The previous prime is 88141631. The next prime is 88141633. The reversal of 88141632 is 23614188.

It is an interprime number because it is at equal distance from previous prime (88141631) and next prime (88141633).

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

It is a junction number, because it is equal to n+sod(n) for n = 88141593 and 88141602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88141631) 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 7 ways as a sum of consecutive naturals, for example, 17548 + ... + 22004.

Almost surely, 2^88141632 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 88141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117762528).

88141632 is an abundant number, since it is smaller than the sum of its proper divisors (147383424).

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

88141632 is a wasteful number, since it uses less digits than its factorization.

88141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4565 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 88141632 is about 9388.3774956059. The cubic root of 88141632 is about 445.0345165332.

The spelling of 88141632 in words is "eighty-eight million, one hundred forty-one thousand, six hundred thirty-two".