1235048640 has 448 divisors, whose sum is σ = 5003596800. Its totient is φ = 251265024.

The previous prime is 1235048629. The next prime is 1235048653. The reversal of 1235048640 is 468405321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1235048640³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2170276 + ... + 2170844.

Almost surely, 2^1235048640 is an apocalyptic number.

1235048640 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 1235048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501798400).

1235048640 is an abundant number, since it is smaller than the sum of its proper divisors (3768548160).

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

1235048640 is a wasteful number, since it uses less digits than its factorization.

1235048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1235048640 is about 35143.2588130355. The cubic root of 1235048640 is about 1072.9052092776.

The spelling of 1235048640 in words is "one billion, two hundred thirty-five million, forty-eight thousand, six hundred forty".