819152640 has 216 divisors, whose sum is σ = 2856064848. Its totient is φ = 216760320.

The previous prime is 819152639. The next prime is 819152641. The reversal of 819152640 is 46251918.

819152640 is a `hidden beast` number, since 8 + 1 + 9 + 1 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (819152639) and next prime (819152641).

It is a super-2 number, since 2×819152640² = 1342022095237939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 819152595 and 819152604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430552 + ... + 2430888.

Almost surely, 2^819152640 is an apocalyptic number.

819152640 is a gapful number since it is divisible by the number (80) 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 819152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428032424).

819152640 is an abundant number, since it is smaller than the sum of its proper divisors (2036912208).

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

819152640 is a wasteful number, since it uses less digits than its factorization.

819152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 819152640 is about 28620.8427548876. The cubic root of 819152640 is about 935.6676444379.

The spelling of 819152640 in words is "eight hundred nineteen million, one hundred fifty-two thousand, six hundred forty".