1520400096 has 72 divisors (see below), whose sum is σ = 4511641680. Its totient is φ = 484763136.

The previous prime is 1520400071. The next prime is 1520400097. The reversal of 1520400096 is 6900040251.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520400097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108141 + ... + 121388.

It is an arithmetic number, because the mean of its divisors is an integer number (62661690).

Almost surely, 2^1520400096 is an apocalyptic number.

1520400096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1520400096 is an abundant number, since it is smaller than the sum of its proper divisors (2991241584).

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

1520400096 is a wasteful number, since it uses less digits than its factorization.

1520400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229568 (or 229557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1520400096 is about 38992.3081645598. The cubic root of 1520400096 is about 1149.8802889882.

The spelling of 1520400096 in words is "one billion, five hundred twenty million, four hundred thousand, ninety-six".