1553972160 has 224 divisors, whose sum is σ = 5444776512. Its totient is φ = 373063680.

The previous prime is 1553972153. The next prime is 1553972191. The reversal of 1553972160 is 612793551.

It is a super-3 number, since 3×1553972160³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510162 + ... + 513198.

It is an arithmetic number, because the mean of its divisors is an integer number (24307038).

Almost surely, 2^1553972160 is an apocalyptic number.

1553972160 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 1553972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722388256).

1553972160 is an abundant number, since it is smaller than the sum of its proper divisors (3890804352).

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

1553972160 is a wasteful number, since it uses less digits than its factorization.

1553972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1553972160 is about 39420.4535742551. The cubic root of 1553972160 is about 1158.2822773188.

The spelling of 1553972160 in words is "one billion, five hundred fifty-three million, nine hundred seventy-two thousand, one hundred sixty".