1785640416 has 48 divisors (see below), whose sum is σ = 5356923264. Its totient is φ = 510182784.

The previous prime is 1785640411. The next prime is 1785640457. The reversal of 1785640416 is 6140465871.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1785640411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327930 + ... + 1329273.

It is an arithmetic number, because the mean of its divisors is an integer number (111602568).

Almost surely, 2^1785640416 is an apocalyptic number.

1785640416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1785640416 is an abundant number, since it is smaller than the sum of its proper divisors (3571282848).

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

1785640416 is a wasteful number, since it uses less digits than its factorization.

1785640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657223 (or 2657215 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1785640416 is about 42256.8386891400. The cubic root of 1785640416 is about 1213.1970223500.

The spelling of 1785640416 in words is "one billion, seven hundred eighty-five million, six hundred forty thousand, four hundred sixteen".