89138280 has 192 divisors, whose sum is σ = 336309120. Its totient is φ = 18501120.

The previous prime is 89138267. The next prime is 89138281. The reversal of 89138280 is 8283198.

It is a super-2 number, since 2×89138280² = 15891265922716800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89138281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101202 + ... + 102078.

It is an arithmetic number, because the mean of its divisors is an integer number (1751610).

Almost surely, 2^89138280 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 89138280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168154560).

89138280 is an abundant number, since it is smaller than the sum of its proper divisors (247170840).

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

89138280 is a wasteful number, since it uses less digits than its factorization.

89138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 89138280 is about 9441.3071128949. The cubic root of 89138280 is about 446.7056202260.

The spelling of 89138280 in words is "eighty-nine million, one hundred thirty-eight thousand, two hundred eighty".