978991104 has 384 divisors, whose sum is σ = 3434296320. Its totient is φ = 240648192.

The previous prime is 978991099. The next prime is 978991109. The reversal of 978991104 is 401199879.

It is an interprime number because it is at equal distance from previous prime (978991099) and next prime (978991109).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×978991104² = 1916847163422277632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978991109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504717 + ... + 9504819.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2^978991104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

978991104 is an abundant number, since it is smaller than the sum of its proper divisors (2455305216).

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

978991104 is a wasteful number, since it uses less digits than its factorization.

978991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The square root of 978991104 is about 31288.8335353046. The cubic root of 978991104 is about 992.9474126073.

The spelling of 978991104 in words is "nine hundred seventy-eight million, nine hundred ninety-one thousand, one hundred four".