819653970 has 64 divisors (see below), whose sum is σ = 2090085120. Its totient is φ = 205325568.

The previous prime is 819653959. The next prime is 819653971. The reversal of 819653970 is 79356918.

It is not an unprimeable number, because it can be changed into a prime (819653971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19459 + ... + 44921.

It is an arithmetic number, because the mean of its divisors is an integer number (32657580).

Almost surely, 2^819653970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819653970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045042560).

819653970 is an abundant number, since it is smaller than the sum of its proper divisors (1270431150).

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

819653970 is a wasteful number, since it uses less digits than its factorization.

819653970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25539.

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 819653970 is about 28629.5995431302. The cubic root of 819653970 is about 935.8584849790.

The spelling of 819653970 in words is "eight hundred nineteen million, six hundred fifty-three thousand, nine hundred seventy".