1335512640 has 672 divisors, whose sum is σ = 5629046400. Its totient is φ = 264929280.

The previous prime is 1335512623. The next prime is 1335512653. The reversal of 1335512640 is 462155331.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1335512598 and 1335512607.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15005716 + ... + 15005804.

Almost surely, 2^1335512640 is an apocalyptic number.

1335512640 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 1335512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814523200).

1335512640 is an abundant number, since it is smaller than the sum of its proper divisors (4293533760).

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

1335512640 is a wasteful number, since it uses less digits than its factorization.

1335512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1335512640 is about 36544.6663687056. Note that the first 3 decimals coincide. The cubic root of 1335512640 is about 1101.2417492230.

Adding to 1335512640 its reverse (462155331), we get a palindrome (1797667971).

The spelling of 1335512640 in words is "one billion, three hundred thirty-five million, five hundred twelve thousand, six hundred forty".