1601686548 has 480 divisors, whose sum is σ = 5724364800. Its totient is φ = 377913600.

The previous prime is 1601686547. The next prime is 1601686549. The reversal of 1601686548 is 8456861061.

1601686548 is a `hidden beast` number, since 16 + 0 + 16 + 86 + 548 = 666.

It is an interprime number because it is at equal distance from previous prime (1601686547) and next prime (1601686549).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601686547) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14694318 + ... + 14694426.

It is an arithmetic number, because the mean of its divisors is an integer number (11925760).

Almost surely, 2^1601686548 is an apocalyptic number.

1601686548 is a gapful number since it is divisible by the number (18) 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 1601686548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862182400).

1601686548 is an abundant number, since it is smaller than the sum of its proper divisors (4122678252).

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

1601686548 is a wasteful number, since it uses less digits than its factorization.

1601686548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1601686548 is about 40021.0762973711. The cubic root of 1601686548 is about 1170.0179089961.

The spelling of 1601686548 in words is "one billion, six hundred one million, six hundred eighty-six thousand, five hundred forty-eight".