88287760 has 80 divisors (see below), whose sum is σ = 229485312. Its totient is φ = 31308800.

The previous prime is 88287757. The next prime is 88287763. The reversal of 88287760 is 6778288.

It is an interprime number because it is at equal distance from previous prime (88287757) and next prime (88287763).

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

It is a self number, because there is not a number n which added to its sum of digits gives 88287760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88287763) 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, 34857 + ... + 37303.

Almost surely, 2^88287760 is an apocalyptic number.

88287760 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 88287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656).

88287760 is an abundant number, since it is smaller than the sum of its proper divisors (141197552).

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

88287760 is a wasteful number, since it uses less digits than its factorization.

88287760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 88287760 is about 9396.1566611035. The cubic root of 88287760 is about 445.2803182694.

The spelling of 88287760 in words is "eighty-eight million, two hundred eighty-seven thousand, seven hundred sixty".