1023580152 has 112 divisors (see below), whose sum is σ = 3288705840. Its totient is φ = 292439808.

The previous prime is 1023580121. The next prime is 1023580177. The reversal of 1023580152 is 2510853201.

It is a happy number.

1023580152 is a `hidden beast` number, since 10 + 23 + 580 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28288 + ... + 53360.

It is an arithmetic number, because the mean of its divisors is an integer number (29363445).

Almost surely, 2^1023580152 is an apocalyptic number.

1023580152 is a gapful number since it is divisible by the number (12) 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 1023580152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644352920).

1023580152 is an abundant number, since it is smaller than the sum of its proper divisors (2265125688).

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

1023580152 is an equidigital number, since it uses as much as digits as its factorization.

1023580152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25104 (or 25085 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1023580152 is about 31993.4392024365. The cubic root of 1023580152 is about 1007.7990670919.

The spelling of 1023580152 in words is "one billion, twenty-three million, five hundred eighty thousand, one hundred fifty-two".