161057040 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 40601088.

The previous prime is 161057027. The next prime is 161057047. The reversal of 161057040 is 40750161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 161057040.

It is not an unprimeable number, because it can be changed into a prime (161057047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899671 + ... + 899849.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^161057040 is an apocalyptic number.

161057040 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 161057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

161057040 is an abundant number, since it is smaller than the sum of its proper divisors (366052080).

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

161057040 is a wasteful number, since it uses less digits than its factorization.

161057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 161057040 is about 12690.8250322822. The cubic root of 161057040 is about 544.0764202041.

The spelling of 161057040 in words is "one hundred sixty-one million, fifty-seven thousand, forty".