988054200 has 240 divisors, whose sum is σ = 3922345680. Its totient is φ = 225815040.

The previous prime is 988054189. The next prime is 988054201. The reversal of 988054200 is 2450889.

It is a super-2 number, since 2×988054200² = 1952502204275280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988054201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109044 + ... + 117756.

It is an arithmetic number, because the mean of its divisors is an integer number (16343107).

Almost surely, 2^988054200 is an apocalyptic number.

988054200 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 988054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961172840).

988054200 is an abundant number, since it is smaller than the sum of its proper divisors (2934291480).

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

988054200 is a wasteful number, since it uses less digits than its factorization.

988054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 988054200 is about 31433.3294450333. The cubic root of 988054200 is about 996.0021048003.

The spelling of 988054200 in words is "nine hundred eighty-eight million, fifty-four thousand, two hundred".