1676351040 has 448 divisors, whose sum is σ = 6772899840. Its totient is φ = 341729280.

The previous prime is 1676351029. The next prime is 1676351041. The reversal of 1676351040 is 401536761.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1676351040³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1676350992 and 1676351010.

It is not an unprimeable number, because it can be changed into a prime (1676351041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707851 + ... + 2708469.

It is an arithmetic number, because the mean of its divisors is an integer number (15118080).

Almost surely, 2^1676351040 is an apocalyptic number.

1676351040 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 1676351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386449920).

1676351040 is an abundant number, since it is smaller than the sum of its proper divisors (5096548800).

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

1676351040 is a wasteful number, since it uses less digits than its factorization.

1676351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1676351040 is about 40943.2661130008. The cubic root of 1676351040 is about 1187.9230867686.

The spelling of 1676351040 in words is "one billion, six hundred seventy-six million, three hundred fifty-one thousand, forty".