1505661696 has 720 divisors, whose sum is σ = 5983262208. Its totient is φ = 364953600.

The previous prime is 1505661691. The next prime is 1505661697. The reversal of 1505661696 is 6961665051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505661691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36723436 + ... + 36723476.

Almost surely, 2^1505661696 is an apocalyptic number.

1505661696 is a gapful number since it is divisible by the number (16) 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 1505661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991631104).

1505661696 is an abundant number, since it is smaller than the sum of its proper divisors (4477600512).

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

1505661696 is a wasteful number, since it uses less digits than its factorization.

1505661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1505661696 is about 38802.8568020449. The cubic root of 1505661696 is about 1146.1526618807.

The spelling of 1505661696 in words is "one billion, five hundred five million, six hundred sixty-one thousand, six hundred ninety-six".