1148826240 has 384 divisors, whose sum is σ = 4210315200. Its totient is φ = 299261952.

The previous prime is 1148826197. The next prime is 1148826253. The reversal of 1148826240 is 426288411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1148826195 and 1148826204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12908116 + ... + 12908204.

Almost surely, 2^1148826240 is an apocalyptic number.

1148826240 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 1148826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105157600).

1148826240 is an abundant number, since it is smaller than the sum of its proper divisors (3061488960).

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

1148826240 is an frugal number, since it uses more digits than its factorization.

1148826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1148826240 is about 33894.3393503989. The cubic root of 1148826240 is about 1047.3329865895.

The spelling of 1148826240 in words is "one billion, one hundred forty-eight million, eight hundred twenty-six thousand, two hundred forty".