984732672 has 352 divisors, whose sum is σ = 3433457664. Its totient is φ = 243302400.

The previous prime is 984732647. The next prime is 984732677. The reversal of 984732672 is 276237489.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984732677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5440422 + ... + 5440602.

Almost surely, 2^984732672 is an apocalyptic number.

984732672 is a gapful number since it is divisible by the number (92) 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 984732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716728832).

984732672 is an abundant number, since it is smaller than the sum of its proper divisors (2448724992).

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

984732672 is a wasteful number, since it uses less digits than its factorization.

984732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 984732672 is about 31380.4504747781. The cubic root of 984732672 is about 994.8847697000.

The spelling of 984732672 in words is "nine hundred eighty-four million, seven hundred thirty-two thousand, six hundred seventy-two".