1351520640 has 480 divisors, whose sum is σ = 5159943360. Its totient is φ = 336752640.

The previous prime is 1351520629. The next prime is 1351520647. The reversal of 1351520640 is 460251531.

1351520640 is a `hidden beast` number, since 1 + 3 + 5 + 15 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351520647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43597425 + ... + 43597455.

It is an arithmetic number, because the mean of its divisors is an integer number (10749882).

Almost surely, 2^1351520640 is an apocalyptic number.

1351520640 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 1351520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579971680).

1351520640 is an abundant number, since it is smaller than the sum of its proper divisors (3808422720).

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

1351520640 is an equidigital number, since it uses as much as digits as its factorization.

1351520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1351520640 is about 36763.0336071440. The cubic root of 1351520640 is about 1105.6242631904.

The spelling of 1351520640 in words is "one billion, three hundred fifty-one million, five hundred twenty thousand, six hundred forty".