89967150 has 180 divisors, whose sum is σ = 299261352. Its totient is φ = 18982080.

The previous prime is 89967149. The next prime is 89967167. The reversal of 89967150 is 5176998.

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

It is a junction number, because it is equal to n+sod(n) for n = 89967096 and 89967105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6920544 + ... + 6920556.

Almost surely, 2^89967150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89967150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149630676).

89967150 is an abundant number, since it is smaller than the sum of its proper divisors (209294202).

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

89967150 is a wasteful number, since it uses less digits than its factorization.

89967150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 89967150 is about 9485.1014754719. The cubic root of 89967150 is about 448.0859442629.

The spelling of 89967150 in words is "eighty-nine million, nine hundred sixty-seven thousand, one hundred fifty".