1676929040 has 80 divisors (see below), whose sum is σ = 3999159216. Its totient is φ = 653721600.

The previous prime is 1676929019. The next prime is 1676929043. The reversal of 1676929040 is 409296761.

It can be written as a sum of positive squares in 8 ways, for example, as 229583104 + 1447345936 = 15152^2 + 38044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1676928982 and 1676929000.

It is not an unprimeable number, because it can be changed into a prime (1676929043) 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, 549920 + ... + 552960.

Almost surely, 2^1676929040 is an apocalyptic number.

1676929040 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 1676929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999579608).

1676929040 is an abundant number, since it is smaller than the sum of its proper divisors (2322230176).

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

1676929040 is a wasteful number, since it uses less digits than its factorization.

1676929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1676929040 is about 40950.3240524419. The cubic root of 1676929040 is about 1188.0596016608.

The spelling of 1676929040 in words is "one billion, six hundred seventy-six million, nine hundred twenty-nine thousand, forty".