89177920 has 168 divisors, whose sum is σ = 245982744. Its totient is φ = 30670848.

The previous prime is 89177897. The next prime is 89177927. The reversal of 89177920 is 2977198.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 39841344 + 49336576 = 6312^2 + 7024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89177927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919312 + ... + 919408.

It is an arithmetic number, because the mean of its divisors is an integer number (1464183).

Almost surely, 2^89177920 is an apocalyptic number.

89177920 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 89177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122991372).

89177920 is an abundant number, since it is smaller than the sum of its proper divisors (156804824).

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

89177920 is a wasteful number, since it uses less digits than its factorization.

89177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 89177920 is about 9443.4061651504. The cubic root of 89177920 is about 446.7718274215.

The spelling of 89177920 in words is "eighty-nine million, one hundred seventy-seven thousand, nine hundred twenty".