1977924960 has 384 divisors, whose sum is σ = 7642252800. Its totient is φ = 473794560.

The previous prime is 1977924931. The next prime is 1977924979. The reversal of 1977924960 is 694297791.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 1977924897 and 1977924906.

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 63 ways as a sum of consecutive naturals, for example, 5084446 + ... + 5084834.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^1977924960 is an apocalyptic number.

1977924960 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 1977924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

1977924960 is an abundant number, since it is smaller than the sum of its proper divisors (5664327840).

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

1977924960 is a wasteful number, since it uses less digits than its factorization.

1977924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1977924960 is about 44473.8682823970. The cubic root of 1977924960 is about 1255.2684219216.

The spelling of 1977924960 in words is "one billion, nine hundred seventy-seven million, nine hundred twenty-four thousand, nine hundred sixty".