161257600 has 192 divisors, whose sum is σ = 476576640. Its totient is φ = 52715520.

The previous prime is 161257589. The next prime is 161257601. The reversal of 161257600 is 6752161.

161257600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161257601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515044 + ... + 515356.

It is an arithmetic number, because the mean of its divisors is an integer number (2482170).

Almost surely, 2^161257600 is an apocalyptic number.

161257600 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 161257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238288320).

161257600 is an abundant number, since it is smaller than the sum of its proper divisors (315319040).

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

161257600 is a wasteful number, since it uses less digits than its factorization.

161257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 161257600 is about 12698.7243453821. The cubic root of 161257600 is about 544.3021677683.

It can be divided in two parts, 161 and 257600, that multiplied together give a square (41473600 = 6440²).

The spelling of 161257600 in words is "one hundred sixty-one million, two hundred fifty-seven thousand, six hundred".