89301630 has 96 divisors (see below), whose sum is σ = 239514912. Its totient is φ = 21288960.

The previous prime is 89301613. The next prime is 89301637. The reversal of 89301630 is 3610398.

89301630 = T₂₁₂ + T₂₁₃ + ... + T₈₁₆.

It is a super-2 number, since 2×89301630² = 15949562241313800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89301637) 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, 264822 + ... + 265158.

It is an arithmetic number, because the mean of its divisors is an integer number (2494947).

Almost surely, 2^89301630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89301630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757456).

89301630 is an abundant number, since it is smaller than the sum of its proper divisors (150213282).

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

89301630 is a wasteful number, since it uses less digits than its factorization.

89301630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 89301630 is about 9449.9539681419. The cubic root of 89301630 is about 446.9783232485.

The spelling of 89301630 in words is "eighty-nine million, three hundred one thousand, six hundred thirty".