1520379840 has 168 divisors, whose sum is σ = 5615494992. Its totient is φ = 347504640.

The previous prime is 1520379827. The next prime is 1520379859. The reversal of 1520379840 is 489730251.

1520379840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30880 + ... + 63200.

Almost surely, 2^1520379840 is an apocalyptic number.

1520379840 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 1520379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807747496).

1520379840 is an abundant number, since it is smaller than the sum of its proper divisors (4095115152).

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

1520379840 is a wasteful number, since it uses less digits than its factorization.

1520379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32355 (or 32338 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1520379840 is about 38992.0484201587. The cubic root of 1520379840 is about 1149.8751824204.

The spelling of 1520379840 in words is "one billion, five hundred twenty million, three hundred seventy-nine thousand, eight hundred forty".