1601679480 has 384 divisors, whose sum is σ = 5662483200. Its totient is φ = 359976960.

The previous prime is 1601679439. The next prime is 1601679481. The reversal of 1601679480 is 849761061.

1601679480 = 73² + 74² + ... + 1687².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601679481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37248339 + ... + 37248381.

It is an arithmetic number, because the mean of its divisors is an integer number (14746050).

Almost surely, 2^1601679480 is an apocalyptic number.

1601679480 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 1601679480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831241600).

1601679480 is an abundant number, since it is smaller than the sum of its proper divisors (4060803720).

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

1601679480 is a wasteful number, since it uses less digits than its factorization.

1601679480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1601679480 is about 40020.9879938015. The cubic root of 1601679480 is about 1170.0161879563.

The spelling of 1601679480 in words is "one billion, six hundred one million, six hundred seventy-nine thousand, four hundred eighty".