88145840 has 80 divisors (see below), whose sum is σ = 213340512. Its totient is φ = 33841152.

The previous prime is 88145789. The next prime is 88145857. The reversal of 88145840 is 4854188.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 88145794 and 88145803.

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, 286967 + ... + 287273.

Almost surely, 2^88145840 is an apocalyptic number.

88145840 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 88145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106670256).

88145840 is an abundant number, since it is smaller than the sum of its proper divisors (125194672).

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

88145840 is a wasteful number, since it uses less digits than its factorization.

88145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 88145840 is about 9388.6015998124. The cubic root of 88145840 is about 445.0415986025.

The spelling of 88145840 in words is "eighty-eight million, one hundred forty-five thousand, eight hundred forty".