1610963640 has 768 divisors, whose sum is σ = 6824563200. Its totient is φ = 335923200.

The previous prime is 1610963623. The next prime is 1610963687. The reversal of 1610963640 is 463690161.

1610963640 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 6 + 3 + 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 = 1610963595 and 1610963604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26409210 + ... + 26409270.

It is an arithmetic number, because the mean of its divisors is an integer number (8886150).

Almost surely, 2^1610963640 is an apocalyptic number.

1610963640 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 1610963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

1610963640 is an abundant number, since it is smaller than the sum of its proper divisors (5213599560).

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

1610963640 is a wasteful number, since it uses less digits than its factorization.

1610963640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1610963640 is about 40136.8115325570. The cubic root of 1610963640 is about 1172.2725063005.

The spelling of 1610963640 in words is "one billion, six hundred ten million, nine hundred sixty-three thousand, six hundred forty".