1681577376 has 48 divisors (see below), whose sum is σ = 4416350400. Its totient is φ = 560245248.

The previous prime is 1681577363. The next prime is 1681577377. The reversal of 1681577376 is 6737751861.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1681577377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292740 + ... + 298428.

It is an arithmetic number, because the mean of its divisors is an integer number (92007300).

Almost surely, 2^1681577376 is an apocalyptic number.

1681577376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1681577376 is an abundant number, since it is smaller than the sum of its proper divisors (2734773024).

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

1681577376 is a wasteful number, since it uses less digits than its factorization.

1681577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8773 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 1681577376 is about 41007.0405662247. The cubic root of 1681577376 is about 1189.1563297195.

The spelling of 1681577376 in words is "one billion, six hundred eighty-one million, five hundred seventy-seven thousand, three hundred seventy-six".