1610990640 has 480 divisors, whose sum is σ = 6676715520. Its totient is φ = 355622400.

The previous prime is 1610990621. The next prime is 1610990699. The reversal of 1610990640 is 460990161.

1610990640 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 9 + 0 + 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 = 1610990595 and 1610990604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3280795 + ... + 3281285.

It is an arithmetic number, because the mean of its divisors is an integer number (13909824).

Almost surely, 2^1610990640 is an apocalyptic number.

1610990640 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 1610990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338357760).

1610990640 is an abundant number, since it is smaller than the sum of its proper divisors (5065724880).

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

1610990640 is a wasteful number, since it uses less digits than its factorization.

1610990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

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

The square root of 1610990640 is about 40137.1478807351. The cubic root of 1610990640 is about 1172.2790554201.

The spelling of 1610990640 in words is "one billion, six hundred ten million, nine hundred ninety thousand, six hundred forty".