1601664240 has 160 divisors (see below), whose sum is σ = 5519218176. Its totient is φ = 380922880.

The previous prime is 1601664227. The next prime is 1601664241. The reversal of 1601664240 is 424661061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1601664198 and 1601664207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601664241) 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, 134197 + ... + 145643.

Almost surely, 2^1601664240 is an apocalyptic number.

1601664240 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 1601664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759609088).

1601664240 is an abundant number, since it is smaller than the sum of its proper divisors (3917553936).

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

1601664240 is a wasteful number, since it uses less digits than its factorization.

1601664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11527 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1601664240 is about 40020.7975932514. The cubic root of 1601664240 is about 1170.0124770384.

It can be divided in two parts, 160 and 1664240, that added together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 1601664240 in words is "one billion, six hundred one million, six hundred sixty-four thousand, two hundred forty".