988251600 has 240 divisors, whose sum is σ = 3693315200. Its totient is φ = 225886080.

The previous prime is 988251587. The next prime is 988251613. The reversal of 988251600 is 6152889.

It is an interprime number because it is at equal distance from previous prime (988251587) and next prime (988251613).

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141178797 + ... + 141178803.

Almost surely, 2^988251600 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 988251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846657600).

988251600 is an abundant number, since it is smaller than the sum of its proper divisors (2705063600).

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

988251600 is an frugal number, since it uses more digits than its factorization.

988251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 988251600 is about 31436.4692673971. The cubic root of 988251600 is about 996.0684296786.

The spelling of 988251600 in words is "nine hundred eighty-eight million, two hundred fifty-one thousand, six hundred".