89940672 has 224 divisors, whose sum is σ = 288706560. Its totient is φ = 27371520.

The previous prime is 89940667. The next prime is 89940677. The reversal of 89940672 is 27604998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89940667) and next prime (89940677).

It is a super-3 number, since 3×89940672³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (89940677) 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 31 ways as a sum of consecutive naturals, for example, 1232028 + ... + 1232100.

Almost surely, 2^89940672 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 89940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353280).

89940672 is an abundant number, since it is smaller than the sum of its proper divisors (198765888).

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

89940672 is a wasteful number, since it uses less digits than its factorization.

89940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

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

The square root of 89940672 is about 9483.7056048783. The cubic root of 89940672 is about 448.0419816100.

The spelling of 89940672 in words is "eighty-nine million, nine hundred forty thousand, six hundred seventy-two".