1864838976 has 448 divisors, whose sum is σ = 6860292096. Its totient is φ = 431308800.

The previous prime is 1864838959. The next prime is 1864838981. The reversal of 1864838976 is 6798384681.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957796 + ... + 5958108.

It is an arithmetic number, because the mean of its divisors is an integer number (15313152).

Almost surely, 2^1864838976 is an apocalyptic number.

1864838976 is a gapful number since it is divisible by the number (16) 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 1864838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430146048).

1864838976 is an abundant number, since it is smaller than the sum of its proper divisors (4995453120).

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

1864838976 is a wasteful number, since it uses less digits than its factorization.

1864838976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 1864838976 is about 43183.7813999654. The cubic root of 1864838976 is about 1230.8745132565.

The spelling of 1864838976 in words is "one billion, eight hundred sixty-four million, eight hundred thirty-eight thousand, nine hundred seventy-six".