89294464 has 96 divisors (see below), whose sum is σ = 216280800. Its totient is φ = 36546048.

The previous prime is 89294461. The next prime is 89294473. The reversal of 89294464 is 46449298.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (89294461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143947 + ... + 144565.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^89294464 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 89294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

89294464 is an abundant number, since it is smaller than the sum of its proper divisors (126986336).

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

89294464 is a wasteful number, since it uses less digits than its factorization.

89294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 89294464 is about 9449.5748052492. The cubic root of 89294464 is about 446.9663670191.

It can be divided in two parts, 8929 and 4464, that multiplied together give a triangular number (39859056 = T₈₉₂₈).

The spelling of 89294464 in words is "eighty-nine million, two hundred ninety-four thousand, four hundred sixty-four".