88414480 has 160 divisors (see below), whose sum is σ = 265125888. Its totient is φ = 26611200.

The previous prime is 88414471. The next prime is 88414483. The reversal of 88414480 is 8441488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88414483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190729 + ... + 191191.

Almost surely, 2^88414480 is an apocalyptic number.

88414480 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 88414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132562944).

88414480 is an abundant number, since it is smaller than the sum of its proper divisors (176711408).

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

88414480 is a wasteful number, since it uses less digits than its factorization.

88414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 88414480 is about 9402.8974257938. The cubic root of 88414480 is about 445.4932543445.

The spelling of 88414480 in words is "eighty-eight million, four hundred fourteen thousand, four hundred eighty".