88359840 has 144 divisors (see below), whose sum is σ = 308756448. Its totient is φ = 22998528.

The previous prime is 88359809. The next prime is 88359853. The reversal of 88359840 is 4895388.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×88359840³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61207 + ... + 62633.

It is an arithmetic number, because the mean of its divisors is an integer number (2144142).

Almost surely, 2^88359840 is an apocalyptic number.

88359840 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 88359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224).

88359840 is an abundant number, since it is smaller than the sum of its proper divisors (220396608).

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

88359840 is a wasteful number, since it uses less digits than its factorization.

88359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 88359840 is about 9399.9914893578. The cubic root of 88359840 is about 445.4014640724.

The spelling of 88359840 in words is "eighty-eight million, three hundred fifty-nine thousand, eight hundred forty".