88619040 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 21565440.

The previous prime is 88619029. The next prime is 88619053. The reversal of 88619040 is 4091688.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88618986 and 88619004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121721 + ... + 1121799.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^88619040 is an apocalyptic number.

88619040 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 88619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

88619040 is an abundant number, since it is smaller than the sum of its proper divisors (241601760).

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

88619040 is a wasteful number, since it uses less digits than its factorization.

88619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88619040 is about 9413.7686396044. The cubic root of 88619040 is about 445.8365612678.

The spelling of 88619040 in words is "eighty-eight million, six hundred nineteen thousand, forty".