88411440 has 160 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 21224448.

The previous prime is 88411439. The next prime is 88411447. The reversal of 88411440 is 4411488.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88411398 and 88411407.

It is not an unprimeable number, because it can be changed into a prime (88411447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133831 + ... + 134489.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^88411440 is an apocalyptic number.

88411440 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 88411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

88411440 is an abundant number, since it is smaller than the sum of its proper divisors (214069200).

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

88411440 is a wasteful number, since it uses less digits than its factorization.

88411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 88411440 is about 9402.7357721038. The cubic root of 88411440 is about 445.4881484123.

The spelling of 88411440 in words is "eighty-eight million, four hundred eleven thousand, four hundred forty".