1502961966 has 80 divisors (see below), whose sum is σ = 3683346480. Its totient is φ = 454273920.

The previous prime is 1502961961. The next prime is 1502962007. The reversal of 1502961966 is 6691692051.

It is a happy number.

1502961966 is a `hidden beast` number, since 1 + 5 + 0 + 29 + 619 + 6 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1502961961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 906210 + ... + 907866.

It is an arithmetic number, because the mean of its divisors is an integer number (46041831).

Almost surely, 2^1502961966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1502961966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841673240).

1502961966 is an abundant number, since it is smaller than the sum of its proper divisors (2180384514).

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

1502961966 is a wasteful number, since it uses less digits than its factorization.

1502961966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1502961966 is about 38768.0534203099. The cubic root of 1502961966 is about 1145.4672148568.

The spelling of 1502961966 in words is "one billion, five hundred two million, nine hundred sixty-one thousand, nine hundred sixty-six".