642461112 has 64 divisors (see below), whose sum is σ = 1842201600. Its totient is φ = 207243360.

The previous prime is 642461107. The next prime is 642461137. The reversal of 642461112 is 211164246.

642461112 is a `hidden beast` number, since 6 + 42 + 4 + 611 + 1 + 2 = 666.

642461112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41278 + ... + 54669.

It is an arithmetic number, because the mean of its divisors is an integer number (28784400).

Almost surely, 2^642461112 is an apocalyptic number.

642461112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

642461112 is an abundant number, since it is smaller than the sum of its proper divisors (1199740488).

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

642461112 is a wasteful number, since it uses less digits than its factorization.

642461112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95993 (or 95983 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 642461112 is about 25346.8166048520. The cubic root of 642461112 is about 862.8771099508.

The spelling of 642461112 in words is "six hundred forty-two million, four hundred sixty-one thousand, one hundred twelve".