988152 has 64 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 282240.

The previous prime is 988147. The next prime is 988157. The reversal of 988152 is 251889.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (988147) and next prime (988157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988157) by changing a digit.

988152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4918 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁹⁸⁸¹⁵² 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 988152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

988152 is an abundant number, since it is smaller than the sum of its proper divisors (1863048).

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

988152 is a wasteful number, since it uses less digits than its factorization.

988152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 988152 is about 994.0583483881. The cubic root of 988152 is about 99.6034965950.

The spelling of 988152 in words is "nine hundred eighty-eight thousand, one hundred fifty-two".