89979120 has 320 divisors, whose sum is σ = 387118080. Its totient is φ = 18662400.

The previous prime is 89979077. The next prime is 89979121. The reversal of 89979120 is 2197998.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89979121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166050 + ... + 166590.

It is an arithmetic number, because the mean of its divisors is an integer number (1209744).

Almost surely, 2^89979120 is an apocalyptic number.

89979120 is a gapful number since it is divisible by the number (80) 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 89979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559040).

89979120 is an abundant number, since it is smaller than the sum of its proper divisors (297138960).

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

89979120 is a wasteful number, since it uses less digits than its factorization.

89979120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 89979120 is about 9485.7324440446. The cubic root of 89979120 is about 448.1058157786.

It can be divided in two parts, 899791 and 20, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 89979120 in words is "eighty-nine million, nine hundred seventy-nine thousand, one hundred twenty".