1610864640 has 576 divisors, whose sum is σ = 6991246080. Its totient is φ = 333250560.

The previous prime is 1610864627. The next prime is 1610864641. The reversal of 1610864640 is 464680161.

1610864640 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 8 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1610864595 and 1610864604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610864641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096207 + ... + 7096433.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2^1610864640 is an apocalyptic number.

1610864640 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 1610864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495623040).

1610864640 is an abundant number, since it is smaller than the sum of its proper divisors (5380381440).

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

1610864640 is a wasteful number, since it uses less digits than its factorization.

1610864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1610864640 is about 40135.5782317883. The cubic root of 1610864640 is about 1172.2484922357.

The spelling of 1610864640 in words is "one billion, six hundred ten million, eight hundred sixty-four thousand, six hundred forty".