89948880 has 240 divisors, whose sum is σ = 358560384. Its totient is φ = 20528640.

The previous prime is 89948879. The next prime is 89948899. The reversal of 89948880 is 8884998.

89948880 is a `hidden beast` number, since 89 + 9 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 135750 + ... + 136410.

Almost surely, 2^89948880 is an apocalyptic number.

89948880 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 89948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179280192).

89948880 is an abundant number, since it is smaller than the sum of its proper divisors (268611504).

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

89948880 is a wasteful number, since it uses less digits than its factorization.

89948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 89948880 is about 9484.1383372450. The cubic root of 89948880 is about 448.0556106562.

The spelling of 89948880 in words is "eighty-nine million, nine hundred forty-eight thousand, eight hundred eighty".