1005635420 has 24 divisors (see below), whose sum is σ = 2222984400. Its totient is φ = 381082752.

The previous prime is 1005635369. The next prime is 1005635431. The reversal of 1005635420 is 245365001.

It is a super-2 number, since 2×1005635420² = 2022605195917152800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005635420.

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, 1322825 + ... + 1323584.

It is an arithmetic number, because the mean of its divisors is an integer number (92624350).

Almost surely, 2^1005635420 is an apocalyptic number.

1005635420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005635420 is an abundant number, since it is smaller than the sum of its proper divisors (1217348980).

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

1005635420 is a wasteful number, since it uses less digits than its factorization.

1005635420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646437 (or 2646435 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1005635420 is about 31711.7552336669. The cubic root of 1005635420 is about 1001.8749556774.

The spelling of 1005635420 in words is "one billion, five million, six hundred thirty-five thousand, four hundred twenty".