1390515840 has 192 divisors, whose sum is σ = 5487730560. Its totient is φ = 317822976.

The previous prime is 1390515823. The next prime is 1390515857. The reversal of 1390515840 is 485150931.

1390515840 is a `hidden beast` number, since 13 + 90 + 515 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1390515823) and next prime (1390515857).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1390515795 and 1390515804.

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, 23077 + ... + 57563.

It is an arithmetic number, because the mean of its divisors is an integer number (28581930).

Almost surely, 2^1390515840 is an apocalyptic number.

1390515840 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 1390515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743865280).

1390515840 is an abundant number, since it is smaller than the sum of its proper divisors (4097214720).

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

1390515840 is a wasteful number, since it uses less digits than its factorization.

1390515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34519 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1390515840 is about 37289.6210761118. The cubic root of 1390515840 is about 1116.1570673447.

The spelling of 1390515840 in words is "one billion, three hundred ninety million, five hundred fifteen thousand, eight hundred forty".