88740960 has 288 divisors, whose sum is σ = 355767552. Its totient is φ = 18439680.

The previous prime is 88740959. The next prime is 88740991. The reversal of 88740960 is 6904788.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8067355 + ... + 8067365.

It is an arithmetic number, because the mean of its divisors is an integer number (1235304).

Almost surely, 2^88740960 is an apocalyptic number.

88740960 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 88740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177883776).

88740960 is an abundant number, since it is smaller than the sum of its proper divisors (267026592).

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

88740960 is an equidigital number, since it uses as much as digits as its factorization.

88740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 88740960 is about 9420.2420351072. The cubic root of 88740960 is about 446.0409247438.

The spelling of 88740960 in words is "eighty-eight million, seven hundred forty thousand, nine hundred sixty".