157640 has 32 divisors (see below), whose sum is σ = 406080. Its totient is φ = 53952.

The previous prime is 157639. The next prime is 157649. The reversal of 157640 is 46751.

157640 = T₂₉ + T₃₀ + ... + T₉₈.

157640 is nontrivially palindromic in base 11.

157640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (12690).

2¹⁵⁷⁶⁴⁰ is an apocalyptic number.

157640 is a gapful number since it is divisible by the number (10) 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 157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203040).

157640 is an abundant number, since it is smaller than the sum of its proper divisors (248440).

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

157640 is a wasteful number, since it uses less digits than its factorization.

157640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 157640 is about 397.0390409015. The cubic root of 157640 is about 54.0201113932.

Subtracting from 157640 its reverse (46751), we obtain a square (110889 = 333²).

It can be divided in two parts, 157 and 640, that added together give a palindrome (797).

The spelling of 157640 in words is "one hundred fifty-seven thousand, six hundred forty".