88961600 has 252 divisors, whose sum is σ = 276660864. Its totient is φ = 27555840.

The previous prime is 88961581. The next prime is 88961627. The reversal of 88961600 is 616988.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1892777 + ... + 1892823.

Almost surely, 2^88961600 is an apocalyptic number.

88961600 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 88961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138330432).

88961600 is an abundant number, since it is smaller than the sum of its proper divisors (187699264).

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

88961600 is a wasteful number, since it uses less digits than its factorization.

88961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 88961600 is about 9431.9457165529. The cubic root of 88961600 is about 446.4102882569.

The spelling of 88961600 in words is "eighty-eight million, nine hundred sixty-one thousand, six hundred".