89250084 has 108 divisors (see below), whose sum is σ = 283500672. Its totient is φ = 23173920.

The previous prime is 89250043. The next prime is 89250101. The reversal of 89250084 is 48005298.

89250084 = T₃₄₉ + T₃₅₀ + ... + T₈₃₂.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29029 + ... + 31955.

Almost surely, 2^89250084 is an apocalyptic number.

89250084 is a gapful number since it is divisible by the number (84) 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 89250084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141750336).

89250084 is an abundant number, since it is smaller than the sum of its proper divisors (194250588).

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

89250084 is a wasteful number, since it uses less digits than its factorization.

89250084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 89250084 is about 9447.2262595960. The cubic root of 89250084 is about 446.8923062331.

The spelling of 89250084 in words is "eighty-nine million, two hundred fifty thousand, eighty-four".