648957960 has 192 divisors, whose sum is σ = 2516572800. Its totient is φ = 148321152.

The previous prime is 648957941. The next prime is 648958001. The reversal of 648957960 is 69759846.

648957960 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 579 + 60 = 666.

It is a super-2 number, since 2×648957960² = 842292867694723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 648957897 and 648957906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46789 + ... + 59051.

It is an arithmetic number, because the mean of its divisors is an integer number (13107150).

Almost surely, 2^648957960 is an apocalyptic number.

648957960 is a gapful number since it is divisible by the number (60) 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 648957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258286400).

648957960 is an abundant number, since it is smaller than the sum of its proper divisors (1867614840).

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

648957960 is a wasteful number, since it uses less digits than its factorization.

648957960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 648957960 is about 25474.6532851774. The cubic root of 648957960 is about 865.7759573470.

The spelling of 648957960 in words is "six hundred forty-eight million, nine hundred fifty-seven thousand, nine hundred sixty".