88781616 has 320 divisors, whose sum is σ = 338549760. Its totient is φ = 21565440.

The previous prime is 88781603. The next prime is 88781647. The reversal of 88781616 is 61618788.

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 63 ways as a sum of consecutive naturals, for example, 565410 + ... + 565566.

It is an arithmetic number, because the mean of its divisors is an integer number (1057968).

Almost surely, 2^88781616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88781616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169274880).

88781616 is an abundant number, since it is smaller than the sum of its proper divisors (249768144).

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

88781616 is a wasteful number, since it uses less digits than its factorization.

88781616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 88781616 is about 9422.3996943454. The cubic root of 88781616 is about 446.1090311033.

The spelling of 88781616 in words is "eighty-eight million, seven hundred eighty-one thousand, six hundred sixteen".