1553659920 has 320 divisors, whose sum is σ = 5865696000. Its totient is φ = 376233984.

The previous prime is 1553659907. The next prime is 1553659957. The reversal of 1553659920 is 299563551.

1553659920 is a `hidden beast` number, since 1 + 5 + 5 + 36 + 599 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064151 + ... + 1065609.

It is an arithmetic number, because the mean of its divisors is an integer number (18330300).

Almost surely, 2^1553659920 is an apocalyptic number.

1553659920 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 1553659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932848000).

1553659920 is an abundant number, since it is smaller than the sum of its proper divisors (4312036080).

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

1553659920 is a wasteful number, since it uses less digits than its factorization.

1553659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 1553659920 is about 39416.4929946843. The cubic root of 1553659920 is about 1158.2046941434.

The spelling of 1553659920 in words is "one billion, five hundred fifty-three million, six hundred fifty-nine thousand, nine hundred twenty".