648971136 has 256 divisors, whose sum is σ = 2143468800. Its totient is φ = 191600640.

The previous prime is 648971129. The next prime is 648971161. The reversal of 648971136 is 631179846.

It is a happy number.

It is a super-2 number, since 2×648971136² = 842327070722260992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 648971091 and 648971100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1634490 + ... + 1634886.

It is an arithmetic number, because the mean of its divisors is an integer number (8372925).

Almost surely, 2^648971136 is an apocalyptic number.

648971136 is a gapful number since it is divisible by the number (66) 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 648971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071734400).

648971136 is an abundant number, since it is smaller than the sum of its proper divisors (1494497664).

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

648971136 is a wasteful number, since it uses less digits than its factorization.

648971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 648971136 is about 25474.9118938614. The cubic root of 648971136 is about 865.7818166823.

The spelling of 648971136 in words is "six hundred forty-eight million, nine hundred seventy-one thousand, one hundred thirty-six".