1264074240 has 320 divisors, whose sum is σ = 4751695872. Its totient is φ = 282624000.

The previous prime is 1264074187. The next prime is 1264074241. The reversal of 1264074240 is 424704621.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1264074198 and 1264074207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264074241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097665 + ... + 1098815.

Almost surely, 2^1264074240 is an apocalyptic number.

1264074240 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 1264074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375847936).

1264074240 is an abundant number, since it is smaller than the sum of its proper divisors (3487621632).

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

1264074240 is a wasteful number, since it uses less digits than its factorization.

1264074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1264074240 is about 35553.8217355040. The cubic root of 1264074240 is about 1081.2452030037.

Adding to 1264074240 its reverse (424704621), we get a palindrome (1688778861).

The spelling of 1264074240 in words is "one billion, two hundred sixty-four million, seventy-four thousand, two hundred forty".