1642927104 has 352 divisors, whose sum is σ = 5997546240. Its totient is φ = 432635904.

The previous prime is 1642927103. The next prime is 1642927109. The reversal of 1642927104 is 4017292461.

It is a happy number.

1642927104 is a `hidden beast` number, since 1 + 642 + 9 + 2 + 7 + 1 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642927103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2515642 + ... + 2516294.

Almost surely, 2^1642927104 is an apocalyptic number.

1642927104 is a gapful number since it is divisible by the number (14) 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 1642927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998773120).

1642927104 is an abundant number, since it is smaller than the sum of its proper divisors (4354619136).

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

1642927104 is a wasteful number, since it uses less digits than its factorization.

1642927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1642927104 is about 40533.0371919006. The cubic root of 1642927104 is about 1179.9748879076.

It can be divided in two parts, 164292 and 7104, that added together give a square (171396 = 414²).

The spelling of 1642927104 in words is "one billion, six hundred forty-two million, nine hundred twenty-seven thousand, one hundred four".