1552785920 has 160 divisors (see below), whose sum is σ = 4316830848. Its totient is φ = 524648448.

The previous prime is 1552785911. The next prime is 1552785929. The reversal of 1552785920 is 295872551.

It is an interprime number because it is at equal distance from previous prime (1552785911) and next prime (1552785929).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1552785920² = 4822288226700492800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1552785929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1307567 + ... + 1308753.

Almost surely, 2^1552785920 is an apocalyptic number.

1552785920 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 1552785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158415424).

1552785920 is an abundant number, since it is smaller than the sum of its proper divisors (2764044928).

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

1552785920 is an equidigital number, since it uses as much as digits as its factorization.

1552785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 1552785920 is about 39405.4047054462. The cubic root of 1552785920 is about 1157.9874735526.

The spelling of 1552785920 in words is "one billion, five hundred fifty-two million, seven hundred eighty-five thousand, nine hundred twenty".