1657117340 has 48 divisors (see below), whose sum is σ = 3637085760. Its totient is φ = 633008640.

The previous prime is 1657117283. The next prime is 1657117361. The reversal of 1657117340 is 437117561.

It is a self number, because there is not a number n which added to its sum of digits gives 1657117340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323600 + ... + 328680.

It is an arithmetic number, because the mean of its divisors is an integer number (75772620).

Almost surely, 2^1657117340 is an apocalyptic number.

1657117340 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 1657117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818542880).

1657117340 is an abundant number, since it is smaller than the sum of its proper divisors (1979968420).

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

1657117340 is a wasteful number, since it uses less digits than its factorization.

1657117340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 1657117340 is about 40707.7061500645. The cubic root of 1657117340 is about 1183.3623672481.

The spelling of 1657117340 in words is "one billion, six hundred fifty-seven million, one hundred seventeen thousand, three hundred forty".