88487760 has 80 divisors (see below), whose sum is σ = 275232384. Its totient is φ = 23517696.

The previous prime is 88487741. The next prime is 88487761. The reversal of 88487760 is 6778488.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88487761) 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, 120354 + ... + 121086.

Almost surely, 2^88487760 is an apocalyptic number.

88487760 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 88487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137616192).

88487760 is an abundant number, since it is smaller than the sum of its proper divisors (186744624).

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

88487760 is a wasteful number, since it uses less digits than its factorization.

88487760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 88487760 is about 9406.7932899581. The cubic root of 88487760 is about 445.6162987849.

The spelling of 88487760 in words is "eighty-eight million, four hundred eighty-seven thousand, seven hundred sixty".