1240760640 has 224 divisors, whose sum is σ = 4767462144. Its totient is φ = 266895360.

The previous prime is 1240760603. The next prime is 1240760681. The reversal of 1240760640 is 460670421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1240760598 and 1240760607.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 108810 + ... + 119670.

Almost surely, 2^1240760640 is an apocalyptic number.

1240760640 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 1240760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383731072).

1240760640 is an abundant number, since it is smaller than the sum of its proper divisors (3526701504).

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

1240760640 is a wasteful number, since it uses less digits than its factorization.

1240760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1240760640 is about 35224.4324297781. The cubic root of 1240760640 is about 1074.5566991380.

The spelling of 1240760640 in words is "one billion, two hundred forty million, seven hundred sixty thousand, six hundred forty".