88673760 has 288 divisors, whose sum is σ = 364815360. Its totient is φ = 19160064.

The previous prime is 88673743. The next prime is 88673777. The reversal of 88673760 is 6737688.

It is an interprime number because it is at equal distance from previous prime (88673743) and next prime (88673777).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191289 + ... + 191751.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 2^88673760 is an apocalyptic number.

88673760 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 88673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

88673760 is an abundant number, since it is smaller than the sum of its proper divisors (276141600).

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

88673760 is a wasteful number, since it uses less digits than its factorization.

88673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 88673760 is about 9416.6745722681. The cubic root of 88673760 is about 445.9283066271.

It can be divided in two parts, 8 and 8673760, that added together give a palindrome (8673768).

The spelling of 88673760 in words is "eighty-eight million, six hundred seventy-three thousand, seven hundred sixty".