88409376 has 216 divisors, whose sum is σ = 287567280. Its totient is φ = 25724160.

The previous prime is 88409357. The next prime is 88409383. The reversal of 88409376 is 67390488.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1498435 + ... + 1498493.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 2^88409376 is an apocalyptic number.

88409376 is a gapful number since it is divisible by the number (86) 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 88409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

88409376 is an abundant number, since it is smaller than the sum of its proper divisors (199157904).

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

88409376 is a wasteful number, since it uses less digits than its factorization.

88409376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 88409376 is about 9402.6260161723. The cubic root of 88409376 is about 445.4846816864.

The spelling of 88409376 in words is "eighty-eight million, four hundred nine thousand, three hundred seventy-six".