1505685640 has 128 divisors (see below), whose sum is σ = 3590334720. Its totient is φ = 567705600.

The previous prime is 1505685637. The next prime is 1505685641. The reversal of 1505685640 is 465865051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1505685593 and 1505685602.

It is not an unprimeable number, because it can be changed into a prime (1505685641) 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, 7801384 + ... + 7801576.

It is an arithmetic number, because the mean of its divisors is an integer number (28049490).

Almost surely, 2^1505685640 is an apocalyptic number.

1505685640 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 1505685640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795167360).

1505685640 is an abundant number, since it is smaller than the sum of its proper divisors (2084649080).

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

1505685640 is a wasteful number, since it uses less digits than its factorization.

1505685640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 1505685640 is about 38803.1653348023. The cubic root of 1505685640 is about 1146.1587374673.

The spelling of 1505685640 in words is "one billion, five hundred five million, six hundred eighty-five thousand, six hundred forty".