677953952 has 96 divisors (see below), whose sum is σ = 1484278992. Its totient is φ = 302874624.

The previous prime is 677953943. The next prime is 677953961. The reversal of 677953952 is 259359776.

It is an interprime number because it is at equal distance from previous prime (677953943) and next prime (677953961).

It can be written as a sum of positive squares in 8 ways, for example, as 105596176 + 572357776 = 10276^2 + 23924^2 .

It is a super-2 number, since 2×677953952² = 919243122064836608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

Its product of digits (3572100) is a multiple of the sum of its prime factors (490).

It is a junction number, because it is equal to n+sod(n) for n = 677953894 and 677953903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138498 + ... + 2138814.

Almost surely, 2^677953952 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 677953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742139496).

677953952 is an abundant number, since it is smaller than the sum of its proper divisors (806325040).

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

677953952 is a wasteful number, since it uses less digits than its factorization.

677953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 53.

The square root of 677953952 is about 26037.5488861759. The cubic root of 677953952 is about 878.4830753664.

The spelling of 677953952 in words is "six hundred seventy-seven million, nine hundred fifty-three thousand, nine hundred fifty-two".