1978067616 has 96 divisors (see below), whose sum is σ = 5941651968. Its totient is φ = 564453120.

The previous prime is 1978067579. The next prime is 1978067621. The reversal of 1978067616 is 6167608791.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780271 + ... + 782801.

It is an arithmetic number, because the mean of its divisors is an integer number (61892208).

Almost surely, 2^1978067616 is an apocalyptic number.

1978067616 is a gapful number since it is divisible by the number (16) 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 1978067616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970825984).

1978067616 is an abundant number, since it is smaller than the sum of its proper divisors (3963584352).

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

1978067616 is a wasteful number, since it uses less digits than its factorization.

1978067616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 1978067616 is about 44475.4720716936. The cubic root of 1978067616 is about 1255.2985995523.

The spelling of 1978067616 in words is "one billion, nine hundred seventy-eight million, sixty-seven thousand, six hundred sixteen".