981185400 has 288 divisors, whose sum is σ = 3682420560. Its totient is φ = 241367040.

The previous prime is 981185389. The next prime is 981185417. The reversal of 981185400 is 4581189.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631024 + ... + 632576.

Almost surely, 2^981185400 is an apocalyptic number.

981185400 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 981185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841210280).

981185400 is an abundant number, since it is smaller than the sum of its proper divisors (2701235160).

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

981185400 is a wasteful number, since it uses less digits than its factorization.

981185400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 981185400 is about 31323.8790701280. The cubic root of 981185400 is about 993.6887181861.

The spelling of 981185400 in words is "nine hundred eighty-one million, one hundred eighty-five thousand, four hundred".