257116632 has 64 divisors (see below), whose sum is σ = 673056000. Its totient is φ = 81696384.

The previous prime is 257116603. The next prime is 257116633. The reversal of 257116632 is 236611752.

It is a super-2 number, since 2×257116632² = 132217924902046848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257116593 and 257116602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257116633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208594 + ... + 209822.

It is an arithmetic number, because the mean of its divisors is an integer number (10516500).

Almost surely, 2^257116632 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 257116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336528000).

257116632 is an abundant number, since it is smaller than the sum of its proper divisors (415939368).

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

257116632 is a wasteful number, since it uses less digits than its factorization.

257116632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1636 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 257116632 is about 16034.8567813997. The cubic root of 257116632 is about 635.8822811277.

Adding to 257116632 its product of digits (15120), we get a palindrome (257131752).

The spelling of 257116632 in words is "two hundred fifty-seven million, one hundred sixteen thousand, six hundred thirty-two".