63429120 has 120 divisors (see below), whose sum is σ = 219752676. Its totient is φ = 16908288.

The previous prime is 63429103. The next prime is 63429127. The reversal of 63429120 is 2192436.

63429120 is a `hidden beast` number, since 634 + 2 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 2214144 = 7824^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (63429127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21664 + ... + 24416.

Almost surely, 2^63429120 is an apocalyptic number.

63429120 is a gapful number since it is divisible by the number (60) 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 63429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109876338).

63429120 is an abundant number, since it is smaller than the sum of its proper divisors (156323556).

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

63429120 is a wasteful number, since it uses less digits than its factorization.

63429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63429120 is about 7964.2400767430. The cubic root of 63429120 is about 398.8071127531.

The spelling of 63429120 in words is "sixty-three million, four hundred twenty-nine thousand, one hundred twenty".