1552880160 has 360 divisors, whose sum is σ = 5942738340. Its totient is φ = 381708288.

The previous prime is 1552880149. The next prime is 1552880171. The reversal of 1552880160 is 610882551.

It is an interprime number because it is at equal distance from previous prime (1552880149) and next prime (1552880171).

It can be written as a sum of positive squares in 6 ways, for example, as 21566736 + 1531313424 = 4644^2 + 39132^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1552880160² = 4822873582643251200, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 2189886 + ... + 2190594.

Almost surely, 2^1552880160 is an apocalyptic number.

1552880160 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 1552880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971369170).

1552880160 is an abundant number, since it is smaller than the sum of its proper divisors (4389858180).

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

1552880160 is a wasteful number, since it uses less digits than its factorization.

1552880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1552880160 is about 39406.6004623591. The cubic root of 1552880160 is about 1158.0108995189.

The spelling of 1552880160 in words is "one billion, five hundred fifty-two million, eight hundred eighty thousand, one hundred sixty".