82429040 has 40 divisors (see below), whose sum is σ = 192057648. Its totient is φ = 32901120.

The previous prime is 82429037. The next prime is 82429069. The reversal of 82429040 is 4092428.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 82428994 and 82429012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53075 + ... + 54605.

Almost surely, 2^82429040 is an apocalyptic number.

82429040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82429040 is an abundant number, since it is smaller than the sum of its proper divisors (109628608).

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

82429040 is a wasteful number, since it uses less digits than its factorization.

82429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 82429040 is about 9079.0440025368. The cubic root of 82429040 is about 435.2045367444.

The spelling of 82429040 in words is "eighty-two million, four hundred twenty-nine thousand, forty".