88642641 has 16 divisors (see below), whose sum is σ = 125648064. Its totient is φ = 55394304.

The previous prime is 88642637. The next prime is 88642643. The reversal of 88642641 is 14624688.

It is not a de Polignac number, because 88642641 - 2² = 88642637 is a prime.

It is a super-3 number, since 3×88642641³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88642641.

It is not an unprimeable number, because it can be changed into a prime (88642643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9726 + ... + 16488.

It is an arithmetic number, because the mean of its divisors is an integer number (7853004).

Almost surely, 2^88642641 is an apocalyptic number.

It is an amenable number.

88642641 is a deficient number, since it is larger than the sum of its proper divisors (37005423).

88642641 is a wasteful number, since it uses less digits than its factorization.

88642641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040.

The product of its digits is 73728, while the sum is 39.

The square root of 88642641 is about 9415.0220923798. The cubic root of 88642641 is about 445.8761361143.

The spelling of 88642641 in words is "eighty-eight million, six hundred forty-two thousand, six hundred forty-one".