1520919960 has 256 divisors, whose sum is σ = 5600793600. Its totient is φ = 322486272.

The previous prime is 1520919949. The next prime is 1520919973. The reversal of 1520919960 is 699190251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041711 + ... + 1043169.

It is an arithmetic number, because the mean of its divisors is an integer number (21878100).

Almost surely, 2^1520919960 is an apocalyptic number.

1520919960 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 1520919960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800396800).

1520919960 is an abundant number, since it is smaller than the sum of its proper divisors (4079873640).

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

1520919960 is a wasteful number, since it uses less digits than its factorization.

1520919960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 1520919960 is about 38998.9738326536. The cubic root of 1520919960 is about 1150.0113319614.

The spelling of 1520919960 in words is "one billion, five hundred twenty million, nine hundred nineteen thousand, nine hundred sixty".