89301420 has 96 divisors (see below), whose sum is σ = 299221440. Its totient is φ = 21980160.

The previous prime is 89301409. The next prime is 89301439. The reversal of 89301420 is 2410398.

It is a super-2 number, since 2×89301420² = 15949487228032800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (3116890).

Almost surely, 2^89301420 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 89301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149610720).

89301420 is an abundant number, since it is smaller than the sum of its proper divisors (209920020).

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

89301420 is a wasteful number, since it uses less digits than its factorization.

89301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89301420 is about 9449.9428569701. The cubic root of 89301420 is about 446.9779728797.

The spelling of 89301420 in words is "eighty-nine million, three hundred one thousand, four hundred twenty".