1978000632 has 96 divisors (see below), whose sum is σ = 5541744000. Its totient is φ = 636698880.

The previous prime is 1978000631. The next prime is 1978000691. The reversal of 1978000632 is 2360008791.

1978000632 is a `hidden beast` number, since 19 + 7 + 8 + 0 + 0 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978000631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1849794 + ... + 1850862.

It is an arithmetic number, because the mean of its divisors is an integer number (57726500).

Almost surely, 2^1978000632 is an apocalyptic number.

1978000632 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 1978000632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770872000).

1978000632 is an abundant number, since it is smaller than the sum of its proper divisors (3563743368).

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

1978000632 is a wasteful number, since it uses less digits than its factorization.

1978000632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1978000632 is about 44474.7190210349. The cubic root of 1978000632 is about 1255.2844298529.

The spelling of 1978000632 in words is "one billion, nine hundred seventy-eight million, six hundred thirty-two", and thus it is an aban number.