1655001600 has 480 divisors, whose sum is σ = 6429874176. Its totient is φ = 367411200.

The previous prime is 1655001589. The next prime is 1655001617. The reversal of 1655001600 is 61005561.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 12633535 + ... + 12633665.

Almost surely, 2^1655001600 is an apocalyptic number.

1655001600 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 1655001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214937088).

1655001600 is an abundant number, since it is smaller than the sum of its proper divisors (4774872576).

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

1655001600 is a wasteful number, since it uses less digits than its factorization.

1655001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1655001600 is about 40681.7108784771. The cubic root of 1655001600 is about 1182.8585297857.

The spelling of 1655001600 in words is "one billion, six hundred fifty-five million, one thousand, six hundred".