88636416 has 176 divisors, whose sum is σ = 268042368. Its totient is φ = 25804800.

The previous prime is 88636403. The next prime is 88636421. The reversal of 88636416 is 61463688.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1453026 + ... + 1453086.

It is an arithmetic number, because the mean of its divisors is an integer number (1522968).

Almost surely, 2^88636416 is an apocalyptic number.

88636416 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 88636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134021184).

88636416 is an abundant number, since it is smaller than the sum of its proper divisors (179405952).

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

88636416 is a wasteful number, since it uses less digits than its factorization.

88636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 88636416 is about 9414.6914978665. The cubic root of 88636416 is about 445.8656985345.

The spelling of 88636416 in words is "eighty-eight million, six hundred thirty-six thousand, four hundred sixteen".