1553456160 has 72 divisors (see below), whose sum is σ = 5301174060. Its totient is φ = 414254592.

The previous prime is 1553456153. The next prime is 1553456231. The reversal of 1553456160 is 616543551.

1553456160 is a `hidden beast` number, since 1 + 5 + 5 + 34 + 5 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1552044816 + 1411344 = 39396^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537955 + ... + 540834.

Almost surely, 2^1553456160 is an apocalyptic number.

1553456160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1553456160 is an abundant number, since it is smaller than the sum of its proper divisors (3747717900).

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

1553456160 is a wasteful number, since it uses less digits than its factorization.

1553456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078810 (or 1078799 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1553456160 is about 39413.9082050994. The cubic root of 1553456160 is about 1158.1540597021.

The spelling of 1553456160 in words is "one billion, five hundred fifty-three million, four hundred fifty-six thousand, one hundred sixty".