89242944 has 112 divisors (see below), whose sum is σ = 281683968. Its totient is φ = 24380928.

The previous prime is 89242919. The next prime is 89242949. The reversal of 89242944 is 44924298.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 89242896 and 89242905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89242949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29469 + ... + 32355.

Almost surely, 2^89242944 is an apocalyptic number.

89242944 is a gapful number since it is divisible by the number (84) 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 89242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140841984).

89242944 is an abundant number, since it is smaller than the sum of its proper divisors (192441024).

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

89242944 is a wasteful number, since it uses less digits than its factorization.

89242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2922 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 89242944 is about 9446.8483633432. The cubic root of 89242944 is about 446.8803887984.

It can be divided in two parts, 8924294 and 4, that added together give a palindrome (8924298).

The spelling of 89242944 in words is "eighty-nine million, two hundred forty-two thousand, nine hundred forty-four".