1155624820 has 72 divisors (see below), whose sum is σ = 2914168320. Its totient is φ = 383423040.

The previous prime is 1155624817. The next prime is 1155624839. The reversal of 1155624820 is 284265511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11361 + ... + 49399.

It is an arithmetic number, because the mean of its divisors is an integer number (40474560).

Almost surely, 2^1155624820 is an apocalyptic number.

1155624820 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 1155624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457084160).

1155624820 is an abundant number, since it is smaller than the sum of its proper divisors (1758543500).

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

1155624820 is a wasteful number, since it uses less digits than its factorization.

1155624820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38093 (or 38084 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1155624820 is about 33994.4821993217. The cubic root of 1155624820 is about 1049.3949106280.

The spelling of 1155624820 in words is "one billion, one hundred fifty-five million, six hundred twenty-four thousand, eight hundred twenty".