88761288 has 128 divisors (see below), whose sum is σ = 283345920. Its totient is φ = 22498560.

The previous prime is 88761263. The next prime is 88761307. The reversal of 88761288 is 88216788.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78906 + ... + 80022.

It is an arithmetic number, because the mean of its divisors is an integer number (2213640).

Almost surely, 2^88761288 is an apocalyptic number.

88761288 is a gapful number since it is divisible by the number (88) 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 88761288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141672960).

88761288 is an abundant number, since it is smaller than the sum of its proper divisors (194584632).

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

88761288 is a wasteful number, since it uses less digits than its factorization.

88761288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 88761288 is about 9421.3209264943. The cubic root of 88761288 is about 446.0749805232.

The spelling of 88761288 in words is "eighty-eight million, seven hundred sixty-one thousand, two hundred eighty-eight".