1978629120 has 440 divisors, whose sum is σ = 7656500544. Its totient is φ = 485720064.

The previous prime is 1978629101. The next prime is 1978629143. The reversal of 1978629120 is 219268791.

1978629120 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 629 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5391177 + ... + 5391543.

Almost surely, 2^1978629120 is an apocalyptic number.

1978629120 is a gapful number since it is divisible by the number (10) 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 1978629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828250272).

1978629120 is an abundant number, since it is smaller than the sum of its proper divisors (5677871424).

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

1978629120 is a wasteful number, since it uses less digits than its factorization.

1978629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1978629120 is about 44481.7841368801. The cubic root of 1978629120 is about 1255.4173667261.

The spelling of 1978629120 in words is "one billion, nine hundred seventy-eight million, six hundred twenty-nine thousand, one hundred twenty".