1676690400 has 576 divisors, whose sum is σ = 6995552256. Its totient is φ = 338688000.

The previous prime is 1676690381. The next prime is 1676690417. The reversal of 1676690400 is 40966761.

It is a super-2 number, since 2×1676690400² = 5622581394904320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7946295 + ... + 7946505.

It is an arithmetic number, because the mean of its divisors is an integer number (12145056).

Almost surely, 2^1676690400 is an apocalyptic number.

1676690400 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 1676690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497776128).

1676690400 is an abundant number, since it is smaller than the sum of its proper divisors (5318861856).

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

1676690400 is a wasteful number, since it uses less digits than its factorization.

1676690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1676690400 is about 40947.4101745153. The cubic root of 1676690400 is about 1188.0032422907.

It can be divided in two parts, 1676 and 690400, that added together give a triangular number (692076 = T₁₁₇₆).

The spelling of 1676690400 in words is "one billion, six hundred seventy-six million, six hundred ninety thousand, four hundred".