1610742680 has 64 divisors (see below), whose sum is σ = 3669140160. Its totient is φ = 636346368.

The previous prime is 1610742677. The next prime is 1610742697. The reversal of 1610742680 is 862470161.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1610742680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956749 + ... + 1957571.

It is an arithmetic number, because the mean of its divisors is an integer number (57330315).

Almost surely, 2^1610742680 is an apocalyptic number.

1610742680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1610742680 is an abundant number, since it is smaller than the sum of its proper divisors (2058397480).

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

1610742680 is a wasteful number, since it uses less digits than its factorization.

1610742680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1610742680 is about 40134.0588527998. The cubic root of 1610742680 is about 1172.2189074958.

The spelling of 1610742680 in words is "one billion, six hundred ten million, seven hundred forty-two thousand, six hundred eighty".