89292276 has 108 divisors (see below), whose sum is σ = 243980100. Its totient is φ = 27498240.

The previous prime is 89292257. The next prime is 89292277. The reversal of 89292276 is 67229298.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 58155876 = 5580^2 + 7626^2 .

It is a super-2 number, since 2×89292276² = 15946221106520352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89292277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1003240 + ... + 1003328.

It is an arithmetic number, because the mean of its divisors is an integer number (2259075).

Almost surely, 2^89292276 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 89292276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121990050).

89292276 is an abundant number, since it is smaller than the sum of its proper divisors (154687824).

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

89292276 is a wasteful number, since it uses less digits than its factorization.

89292276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 89292276 is about 9449.4590321351. The cubic root of 89292276 is about 446.9627162873.

The spelling of 89292276 in words is "eighty-nine million, two hundred ninety-two thousand, two hundred seventy-six".