1521972960 has 192 divisors, whose sum is σ = 5165233920. Its totient is φ = 375459840.

The previous prime is 1521972943. The next prime is 1521972973. The reversal of 1521972960 is 692791251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390220 + ... + 394100.

It is an arithmetic number, because the mean of its divisors is an integer number (26902260).

Almost surely, 2^1521972960 is an apocalyptic number.

1521972960 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 1521972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582616960).

1521972960 is an abundant number, since it is smaller than the sum of its proper divisors (3643260960).

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

1521972960 is a wasteful number, since it uses less digits than its factorization.

1521972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 1521972960 is about 39012.4718519604. The cubic root of 1521972960 is about 1150.2766719321.

The spelling of 1521972960 in words is "one billion, five hundred twenty-one million, nine hundred seventy-two thousand, nine hundred sixty".