89546952 has 64 divisors (see below), whose sum is σ = 250205760. Its totient is φ = 26470400.

The previous prime is 89546929. The next prime is 89546959. The reversal of 89546952 is 25964598.

It is a super-2 number, since 2×89546952² = 16037313224980608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89546959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6688 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (3909465).

Almost surely, 2^89546952 is an apocalyptic number.

89546952 is a gapful number since it is divisible by the number (82) 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 89546952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125102880).

89546952 is an abundant number, since it is smaller than the sum of its proper divisors (160658808).

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

89546952 is a wasteful number, since it uses less digits than its factorization.

89546952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8330 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 89546952 is about 9462.9251291554. The cubic root of 89546952 is about 447.3872495610.

The spelling of 89546952 in words is "eighty-nine million, five hundred forty-six thousand, nine hundred fifty-two".