1554600960 has 264 divisors, whose sum is σ = 5878263456. Its totient is φ = 376750080.

The previous prime is 1554600937. The next prime is 1554600979. The reversal of 1554600960 is 690064551.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505347 + ... + 508413.

Almost surely, 2^1554600960 is an apocalyptic number.

1554600960 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 1554600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939131728).

1554600960 is an abundant number, since it is smaller than the sum of its proper divisors (4323662496).

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

1554600960 is a wasteful number, since it uses less digits than its factorization.

1554600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1554600960 is about 39428.4283227217. The cubic root of 1554600960 is about 1158.4384855401.

Subtracting from 1554600960 its reverse (690064551), we obtain a square (864536409 = 29403²).

The spelling of 1554600960 in words is "one billion, five hundred fifty-four million, six hundred thousand, nine hundred sixty".