1642158336 has 144 divisors (see below), whose sum is σ = 5379350144. Its totient is φ = 433078272.

The previous prime is 1642158317. The next prime is 1642158341. The reversal of 1642158336 is 6338512461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1642158294 and 1642158303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58140 + ... + 81636.

Almost surely, 2^1642158336 is an apocalyptic number.

1642158336 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 1642158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689675072).

1642158336 is an abundant number, since it is smaller than the sum of its proper divisors (3737191808).

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

1642158336 is a wasteful number, since it uses less digits than its factorization.

1642158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23536 (or 23522 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1642158336 is about 40523.5528550990. The cubic root of 1642158336 is about 1179.7908122907.

The spelling of 1642158336 in words is "one billion, six hundred forty-two million, one hundred fifty-eight thousand, three hundred thirty-six".