1019609640 has 192 divisors, whose sum is σ = 3953793600. Its totient is φ = 233041536.

The previous prime is 1019609639. The next prime is 1019609651. The reversal of 1019609640 is 469069101.

1019609640 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 0 + 9 + 640 = 666.

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 = 1019609595 and 1019609604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43287 + ... + 62553.

It is an arithmetic number, because the mean of its divisors is an integer number (20592675).

Almost surely, 2^1019609640 is an apocalyptic number.

1019609640 is a gapful number since it is divisible by the number (10) 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 1019609640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976896800).

1019609640 is an abundant number, since it is smaller than the sum of its proper divisors (2934183960).

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

1019609640 is a wasteful number, since it uses less digits than its factorization.

1019609640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19301 (or 19284 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1019609640 is about 31931.3269376642. The cubic root of 1019609640 is about 1006.4942796977.

The spelling of 1019609640 in words is "one billion, nineteen million, six hundred nine thousand, six hundred forty".