1988400960 has 672 divisors, whose sum is σ = 8760390912. Its totient is φ = 418037760.

The previous prime is 1988400877. The next prime is 1988400989. The reversal of 1988400960 is 690048891.

1988400960 = T₄₅ + T₄₆ + ... + T₂₂₈₄.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076020 + ... + 7076300.

It is an arithmetic number, because the mean of its divisors is an integer number (13036296).

Almost surely, 2^1988400960 is an apocalyptic number.

1988400960 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 1988400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380195456).

1988400960 is an abundant number, since it is smaller than the sum of its proper divisors (6771989952).

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

1988400960 is a wasteful number, since it uses less digits than its factorization.

1988400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1988400960 is about 44591.4897710314. The cubic root of 1988400960 is about 1257.4806803641.

The spelling of 1988400960 in words is "one billion, nine hundred eighty-eight million, four hundred thousand, nine hundred sixty".