1964889144 has 128 divisors (see below), whose sum is σ = 5725900800. Its totient is φ = 623583360.

The previous prime is 1964889139. The next prime is 1964889163. The reversal of 1964889144 is 4419884691.

It is a happy number.

1964889144 is a `hidden beast` number, since 19 + 6 + 488 + 9 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373009 + ... + 378239.

It is an arithmetic number, because the mean of its divisors is an integer number (44733600).

Almost surely, 2^1964889144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964889144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862950400).

1964889144 is an abundant number, since it is smaller than the sum of its proper divisors (3761011656).

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

1964889144 is a wasteful number, since it uses less digits than its factorization.

1964889144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5320 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1964889144 is about 44327.0701039444. The cubic root of 1964889144 is about 1252.5046620358.

The spelling of 1964889144 in words is "one billion, nine hundred sixty-four million, eight hundred eighty-nine thousand, one hundred forty-four".