89201376 has 144 divisors (see below), whose sum is σ = 284579568. Its totient is φ = 26265600.

The previous prime is 89201369. The next prime is 89201381. The reversal of 89201376 is 67310298.

89201376 is a `hidden beast` number, since 89 + 201 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89201376.

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 23 ways as a sum of consecutive naturals, for example, 116836 + ... + 117596.

It is an arithmetic number, because the mean of its divisors is an integer number (1976247).

Almost surely, 2^89201376 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 89201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

89201376 is an abundant number, since it is smaller than the sum of its proper divisors (195378192).

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

89201376 is a wasteful number, since it uses less digits than its factorization.

89201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 89201376 is about 9444.6480082637. The cubic root of 89201376 is about 446.8109946702.

It can be divided in two parts, 8920 and 1376, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 89201376 in words is "eighty-nine million, two hundred one thousand, three hundred seventy-six".