1676406528 has 216 divisors, whose sum is σ = 5016368448. Its totient is φ = 538116096.

The previous prime is 1676406491. The next prime is 1676406541. The reversal of 1676406528 is 8256046761.

1676406528 is a `hidden beast` number, since 1 + 67 + 64 + 0 + 6 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12236476 + ... + 12236612.

It is an arithmetic number, because the mean of its divisors is an integer number (23223928).

Almost surely, 2^1676406528 is an apocalyptic number.

1676406528 is a gapful number since it is divisible by the number (18) 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 1676406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508184224).

1676406528 is an abundant number, since it is smaller than the sum of its proper divisors (3339961920).

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

1676406528 is a wasteful number, since it uses less digits than its factorization.

1676406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1676406528 is about 40943.9437279801. The cubic root of 1676406528 is about 1187.9361935598.

The spelling of 1676406528 in words is "one billion, six hundred seventy-six million, four hundred six thousand, five hundred twenty-eight".