1395516096 has 168 divisors, whose sum is σ = 4331933424. Its totient is φ = 426977280.

The previous prime is 1395516079. The next prime is 1395516121. The reversal of 1395516096 is 6906155931.

1395516096 is a `hidden beast` number, since 1 + 3 + 9 + 551 + 6 + 0 + 96 = 666.

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, 1699366 + ... + 1700186.

It is an arithmetic number, because the mean of its divisors is an integer number (25785318).

Almost surely, 2^1395516096 is an apocalyptic number.

1395516096 is a gapful number since it is divisible by the number (16) 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 1395516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165966712).

1395516096 is an abundant number, since it is smaller than the sum of its proper divisors (2936417328).

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

1395516096 is a wasteful number, since it uses less digits than its factorization.

1395516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1395516096 is about 37356.6071264509. The cubic root of 1395516096 is about 1117.4933567162.

The spelling of 1395516096 in words is "one billion, three hundred ninety-five million, five hundred sixteen thousand, ninety-six".