988296120 has 256 divisors, whose sum is σ = 3887308800. Its totient is φ = 218557440.

The previous prime is 988296107. The next prime is 988296137. The reversal of 988296120 is 21692889.

988296120 is a `hidden beast` number, since 9 + 8 + 8 + 29 + 612 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232252 + ... + 236468.

It is an arithmetic number, because the mean of its divisors is an integer number (15184800).

Almost surely, 2^988296120 is an apocalyptic number.

988296120 is a gapful number since it is divisible by the number (90) 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 988296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943654400).

988296120 is an abundant number, since it is smaller than the sum of its proper divisors (2899012680).

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

988296120 is a wasteful number, since it uses less digits than its factorization.

988296120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 988296120 is about 31437.1773542091. The cubic root of 988296120 is about 996.0833868347.

The spelling of 988296120 in words is "nine hundred eighty-eight million, two hundred ninety-six thousand, one hundred twenty".