957261648 has 240 divisors, whose sum is σ = 3130275840. Its totient is φ = 250387200.

The previous prime is 957261623. The next prime is 957261649. The reversal of 957261648 is 846162759.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 957261597 and 957261606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957261649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384983 + ... + 1385673.

It is an arithmetic number, because the mean of its divisors is an integer number (13042816).

Almost surely, 2^957261648 is an apocalyptic number.

957261648 is a gapful number since it is divisible by the number (98) 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 957261648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565137920).

957261648 is an abundant number, since it is smaller than the sum of its proper divisors (2173014192).

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

957261648 is a wasteful number, since it uses less digits than its factorization.

957261648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 753 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 957261648 is about 30939.6452468350. The cubic root of 957261648 is about 985.5459702648.

The spelling of 957261648 in words is "nine hundred fifty-seven million, two hundred sixty-one thousand, six hundred forty-eight".