88205040 has 480 divisors, whose sum is σ = 388118016. Its totient is φ = 17418240.

The previous prime is 88205009. The next prime is 88205071. The reversal of 88205040 is 4050288.

It is an interprime number because it is at equal distance from previous prime (88205009) and next prime (88205071).

It is a junction number, because it is equal to n+sod(n) for n = 88204995 and 88205013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2051259 + ... + 2051301.

Almost surely, 2^88205040 is an apocalyptic number.

88205040 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 88205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194059008).

88205040 is an abundant number, since it is smaller than the sum of its proper divisors (299912976).

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

88205040 is a wasteful number, since it uses less digits than its factorization.

88205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 88205040 is about 9391.7538298233. The cubic root of 88205040 is about 445.1412083955.

The spelling of 88205040 in words is "eighty-eight million, two hundred five thousand, forty".