89901900 has 180 divisors, whose sum is σ = 318234840. Its totient is φ = 21772800.

The previous prime is 89901893. The next prime is 89901907. The reversal of 89901900 is 910998.

It is an interprime number because it is at equal distance from previous prime (89901893) and next prime (89901907).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×89901900² = 16164703247220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89901907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 88596 + ... + 89604.

It is a vampire number, since it can be written as 9081 ⋅ 9900 (with its own digits).

Almost surely, 2^89901900 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 89901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159117420).

89901900 is an abundant number, since it is smaller than the sum of its proper divisors (228332940).

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

89901900 is a wasteful number, since it uses less digits than its factorization.

89901900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 89901900 is about 9481.6612468491. The cubic root of 89901900 is about 447.9775910879.

The spelling of 89901900 in words is "eighty-nine million, nine hundred one thousand, nine hundred".