1360487520 has 288 divisors, whose sum is σ = 5349576960. Its totient is φ = 308413440.

The previous prime is 1360487497. The next prime is 1360487563. The reversal of 1360487520 is 257840631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400635 + ... + 1401605.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^1360487520 is an apocalyptic number.

1360487520 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 1360487520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1360487520 is an abundant number, since it is smaller than the sum of its proper divisors (3989089440).

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

1360487520 is a wasteful number, since it uses less digits than its factorization.

1360487520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1360487520 is about 36884.7871079663. The cubic root of 1360487520 is about 1108.0640225054.

It can be divided in two parts, 13604 and 87520, that added together give a square (101124 = 318²).

The spelling of 1360487520 in words is "one billion, three hundred sixty million, four hundred eighty-seven thousand, five hundred twenty".