88541040 has 120 divisors (see below), whose sum is σ = 319332240. Its totient is φ = 20235264.

The previous prime is 88541023. The next prime is 88541051. The reversal of 88541040 is 4014588.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 88540989 and 88541007.

It is a congruent number.

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, 7996 + ... + 15524.

It is an arithmetic number, because the mean of its divisors is an integer number (2661102).

Almost surely, 2^88541040 is an apocalyptic number.

88541040 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 88541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666120).

88541040 is an abundant number, since it is smaller than the sum of its proper divisors (230791200).

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

88541040 is a wasteful number, since it uses less digits than its factorization.

88541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 88541040 is about 9409.6248596849. The cubic root of 88541040 is about 445.7057185824.

The spelling of 88541040 in words is "eighty-eight million, five hundred forty-one thousand, forty".