1610940960 has 120 divisors (see below), whose sum is σ = 5685324876. Its totient is φ = 429580800.

The previous prime is 1610940959. The next prime is 1610940977. The reversal of 1610940960 is 690490161.

It can be written as a sum of positive squares in 2 ways, for example, as 1559618064 + 51322896 = 39492^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49191 + ... + 75110.

Almost surely, 2^1610940960 is an apocalyptic number.

1610940960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1610940960 is an abundant number, since it is smaller than the sum of its proper divisors (4074383916).

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

1610940960 is a wasteful number, since it uses less digits than its factorization.

1610940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124328 (or 124311 counting only the distinct ones).

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

The square root of 1610940960 is about 40136.5289979091. The cubic root of 1610940960 is about 1172.2670049834.

The spelling of 1610940960 in words is "one billion, six hundred ten million, nine hundred forty thousand, nine hundred sixty".