981696672 has 288 divisors, whose sum is σ = 3302208000. Its totient is φ = 283979520.

The previous prime is 981696647. The next prime is 981696697. The reversal of 981696672 is 276696189.

It is an interprime number because it is at equal distance from previous prime (981696647) and next prime (981696697).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1967079 + ... + 1967577.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^981696672 is an apocalyptic number.

981696672 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 981696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

981696672 is an abundant number, since it is smaller than the sum of its proper divisors (2320511328).

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

981696672 is a wasteful number, since it uses less digits than its factorization.

981696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 981696672 is about 31332.0390654678. The cubic root of 981696672 is about 993.8612839419.

The spelling of 981696672 in words is "nine hundred eighty-one million, six hundred ninety-six thousand, six hundred seventy-two".