819672960 has 64 divisors (see below), whose sum is σ = 2612713680. Its totient is φ = 218578944.

The previous prime is 819672949. The next prime is 819672983. The reversal of 819672960 is 69276918.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×819672960² = 1343727522710323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211537 + ... + 215376.

Almost surely, 2^819672960 is an apocalyptic number.

819672960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819672960 is an abundant number, since it is smaller than the sum of its proper divisors (1793040720).

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

819672960 is a wasteful number, since it uses less digits than its factorization.

819672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426935 (or 426923 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 819672960 is about 28629.9311909756. The cubic root of 819672960 is about 935.8657123440.

The spelling of 819672960 in words is "eight hundred nineteen million, six hundred seventy-two thousand, nine hundred sixty".