1505605632 has 96 divisors (see below), whose sum is σ = 4038128640. Its totient is φ = 498851840.

The previous prime is 1505605631. The next prime is 1505605669. The reversal of 1505605632 is 2365065051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1505605632² = 4533696638220238848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1505605593 and 1505605602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505605631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172863 + ... + 1174145.

It is an arithmetic number, because the mean of its divisors is an integer number (42063840).

Almost surely, 2^1505605632 is an apocalyptic number.

1505605632 is a gapful number since it is divisible by the number (12) 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 1505605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019064320).

1505605632 is an abundant number, since it is smaller than the sum of its proper divisors (2532523008).

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

1505605632 is a wasteful number, since it uses less digits than its factorization.

1505605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 1505605632 is about 38802.1343742841. The cubic root of 1505605632 is about 1146.1384358651.

The spelling of 1505605632 in words is "one billion, five hundred five million, six hundred five thousand, six hundred thirty-two".