1601767440 has 640 divisors, whose sum is σ = 7049548800. Its totient is φ = 325140480.

The previous prime is 1601767397. The next prime is 1601767457. The reversal of 1601767440 is 447671061.

1601767440 is a `hidden beast` number, since 1 + 601 + 7 + 6 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601767395 and 1601767404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5700100 + ... + 5700380.

It is an arithmetic number, because the mean of its divisors is an integer number (11014920).

Almost surely, 2^1601767440 is an apocalyptic number.

1601767440 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 1601767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524774400).

1601767440 is an abundant number, since it is smaller than the sum of its proper divisors (5447781360).

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

1601767440 is a wasteful number, since it uses less digits than its factorization.

1601767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1601767440 is about 40022.0869021094. The cubic root of 1601767440 is about 1170.0376056289.

The spelling of 1601767440 in words is "one billion, six hundred one million, seven hundred sixty-seven thousand, four hundred forty".