1540887348 has 192 divisors, whose sum is σ = 4959295488. Its totient is φ = 359354880.

The previous prime is 1540887307. The next prime is 1540887371. The reversal of 1540887348 is 8437880451.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1540887297 and 1540887306.

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, 442711 + ... + 446177.

It is an arithmetic number, because the mean of its divisors is an integer number (25829664).

Almost surely, 2^1540887348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540887348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479647744).

1540887348 is an abundant number, since it is smaller than the sum of its proper divisors (3418408140).

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

1540887348 is a wasteful number, since it uses less digits than its factorization.

1540887348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 1540887348 is about 39254.1379729577. The cubic root of 1540887348 is about 1155.0221063590.

It can be divided in two parts, 1540 and 887348, that added together give a palindrome (888888).

The spelling of 1540887348 in words is "one billion, five hundred forty million, eight hundred eighty-seven thousand, three hundred forty-eight".