1978168032 has 144 divisors (see below), whose sum is σ = 5895332352. Its totient is φ = 628404480.

The previous prime is 1978168021. The next prime is 1978168043. The reversal of 1978168032 is 2308618791.

1978168032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1978168021) and next prime (1978168043).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596523 + ... + 599829.

It is an arithmetic number, because the mean of its divisors is an integer number (40939808).

Almost surely, 2^1978168032 is an apocalyptic number.

1978168032 is a gapful number since it is divisible by the number (12) 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 1978168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947666176).

1978168032 is an abundant number, since it is smaller than the sum of its proper divisors (3917164320).

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

1978168032 is a wasteful number, since it uses less digits than its factorization.

1978168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1978168032 is about 44476.6009492632. The cubic root of 1978168032 is about 1255.3198408099.

The spelling of 1978168032 in words is "one billion, nine hundred seventy-eight million, one hundred sixty-eight thousand, thirty-two".