88651840 has 112 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 33259520.

The previous prime is 88651817. The next prime is 88651859. The reversal of 88651840 is 4815688.

It can be written as a sum of positive squares in 8 ways, for example, as 20358144 + 68293696 = 4512^2 + 8264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 88651793 and 88651802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380364 + ... + 380596.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^88651840 is an apocalyptic number.

88651840 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 88651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

88651840 is an abundant number, since it is smaller than the sum of its proper divisors (136016240).

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

88651840 is a wasteful number, since it uses less digits than its factorization.

88651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 88651840 is about 9415.5106075029. The cubic root of 88651840 is about 445.8915593638.

The spelling of 88651840 in words is "eighty-eight million, six hundred fifty-one thousand, eight hundred forty".