89677152 has 96 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 29704320.

The previous prime is 89677121. The next prime is 89677153. The reversal of 89677152 is 25177698.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×89677152² = 16083983181662208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89677098 and 89677107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89677153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233953 + ... + 234335.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 2^89677152 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 89677152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

89677152 is an abundant number, since it is smaller than the sum of its proper divisors (173531808).

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

89677152 is a wasteful number, since it uses less digits than its factorization.

89677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 89677152 is about 9469.8021098648. The cubic root of 89677152 is about 447.6039761307.

The spelling of 89677152 in words is "eighty-nine million, six hundred seventy-seven thousand, one hundred fifty-two".