1610135040 has 160 divisors (see below), whose sum is σ = 5314231296. Its totient is φ = 415457280.

The previous prime is 1610135039. The next prime is 1610135041. The reversal of 1610135040 is 405310161.

It is an interprime number because it is at equal distance from previous prime (1610135039) and next prime (1610135041).

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1610134998 and 1610135016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610135041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234699 + ... + 241461.

Almost surely, 2^1610135040 is an apocalyptic number.

1610135040 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 1610135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657115648).

1610135040 is an abundant number, since it is smaller than the sum of its proper divisors (3704096256).

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

1610135040 is an equidigital number, since it uses as much as digits as its factorization.

1610135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1610135040 is about 40126.4880097922. The cubic root of 1610135040 is about 1172.0714855037.

The spelling of 1610135040 in words is "one billion, six hundred ten million, one hundred thirty-five thousand, forty".