1540069632 has 144 divisors (see below), whose sum is σ = 4583138560. Its totient is φ = 510105600.

The previous prime is 1540069631. The next prime is 1540069649. The reversal of 1540069632 is 2369600451.

It is a happy number.

1540069632 is a `hidden beast` number, since 15 + 4 + 0 + 0 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1540069631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250457 + ... + 1251687.

Almost surely, 2^1540069632 is an apocalyptic number.

1540069632 is a gapful number since it is divisible by the number (12) 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 1540069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291569280).

1540069632 is an abundant number, since it is smaller than the sum of its proper divisors (3043068928).

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

1540069632 is a wasteful number, since it uses less digits than its factorization.

1540069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1540069632 is about 39243.7209244995. The cubic root of 1540069632 is about 1154.8177550201.

The spelling of 1540069632 in words is "one billion, five hundred forty million, sixty-nine thousand, six hundred thirty-two".