677136096 has 216 divisors, whose sum is σ = 2412950904. Its totient is φ = 178536960.

The previous prime is 677136091. The next prime is 677136121. The reversal of 677136096 is 690631776.

It is a super-2 number, since 2×677136096² = 917026585012242432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677136091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181611 + ... + 185301.

It is an arithmetic number, because the mean of its divisors is an integer number (11171069).

Almost surely, 2^677136096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206475452).

677136096 is an abundant number, since it is smaller than the sum of its proper divisors (1735814808).

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

677136096 is a wasteful number, since it uses less digits than its factorization.

677136096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 677136096 is about 26021.8388281843. The cubic root of 677136096 is about 878.1296778346.

The spelling of 677136096 in words is "six hundred seventy-seven million, one hundred thirty-six thousand, ninety-six".