88297680 has 80 divisors (see below), whose sum is σ = 275071680. Its totient is φ = 23430144.

The previous prime is 88297673. The next prime is 88297681. The reversal of 88297680 is 8679288.

It is a happy number.

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

It is a super-3 number, since 3×88297680³ (a number of 25 digits) contains 333 as substring.

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 (88297681) 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, 55131 + ... + 56709.

It is an arithmetic number, because the mean of its divisors is an integer number (3438396).

Almost surely, 2^88297680 is an apocalyptic number.

88297680 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 88297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137535840).

88297680 is an abundant number, since it is smaller than the sum of its proper divisors (186774000).

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

88297680 is a wasteful number, since it uses less digits than its factorization.

88297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 88297680 is about 9396.6845216810. The cubic root of 88297680 is about 445.2969948556.

The spelling of 88297680 in words is "eighty-eight million, two hundred ninety-seven thousand, six hundred eighty".