88643040 has 96 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 23462400.

The previous prime is 88643039. The next prime is 88643059. The reversal of 88643040 is 4034688.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 88642992 and 88643010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71869 + ... + 73091.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 2^88643040 is an apocalyptic number.

88643040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

88643040 is an abundant number, since it is smaller than the sum of its proper divisors (192661536).

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

88643040 is a wasteful number, since it uses less digits than its factorization.

88643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 88643040 is about 9415.0432818973. The cubic root of 88643040 is about 445.8768051088.

The spelling of 88643040 in words is "eighty-eight million, six hundred forty-three thousand, forty".