989604000 has 1152 divisors, whose sum is σ = 4840093440. Its totient is φ = 193536000.

The previous prime is 989603981. The next prime is 989604001. The reversal of 989604000 is 406989.

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 (989604001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58211992 + ... + 58212008.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^989604000 is an apocalyptic number.

989604000 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 989604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

989604000 is an abundant number, since it is smaller than the sum of its proper divisors (3850489440).

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

989604000 is a wasteful number, since it uses less digits than its factorization.

989604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 989604000 is about 31457.9719626043. The cubic root of 989604000 is about 996.5225882912.

It can be divided in two parts, 98 and 9604000, that multiplied together give a cube (941192000 = 980³).

The spelling of 989604000 in words is "nine hundred eighty-nine million, six hundred four thousand".