1601553600 has 336 divisors, whose sum is σ = 5903610240. Its totient is φ = 422323200.

The previous prime is 1601553581. The next prime is 1601553631. The reversal of 1601553600 is 63551061.

It is a happy number.

1601553600 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 5 + 53 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659059 + ... + 5659341.

Almost surely, 2^1601553600 is an apocalyptic number.

1601553600 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 1601553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951805120).

1601553600 is an abundant number, since it is smaller than the sum of its proper divisors (4302056640).

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

1601553600 is a wasteful number, since it uses less digits than its factorization.

1601553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1601553600 is about 40019.4152880824. The cubic root of 1601553600 is about 1169.9855356529.

The spelling of 1601553600 in words is "one billion, six hundred one million, five hundred fifty-three thousand, six hundred".