88661040 has 160 divisors (see below), whose sum is σ = 299522496. Its totient is φ = 21565440.

The previous prime is 88661029. The next prime is 88661063. The reversal of 88661040 is 4016688.

It is a junction number, because it is equal to n+sod(n) for n = 88660992 and 88661010.

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 31 ways as a sum of consecutive naturals, for example, 489750 + ... + 489930.

Almost surely, 2^88661040 is an apocalyptic number.

88661040 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 88661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761248).

88661040 is an abundant number, since it is smaller than the sum of its proper divisors (210861456).

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

88661040 is a wasteful number, since it uses less digits than its factorization.

88661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

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

The square root of 88661040 is about 9415.9991503823. Note that the first 3 decimals coincide. The cubic root of 88661040 is about 445.9069832228.

The spelling of 88661040 in words is "eighty-eight million, six hundred sixty-one thousand, forty".