1634642460 has 72 divisors (see below), whose sum is σ = 5409187056. Its totient is φ = 396276480.

The previous prime is 1634642423. The next prime is 1634642467. The reversal of 1634642460 is 642464361.

1634642460 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 642 + 4 + 6 + 0 = 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 (1634642467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410809 + ... + 414768.

It is an arithmetic number, because the mean of its divisors is an integer number (75127598).

Almost surely, 2^1634642460 is an apocalyptic number.

1634642460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1634642460 is an abundant number, since it is smaller than the sum of its proper divisors (3774544596).

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

1634642460 is a wasteful number, since it uses less digits than its factorization.

1634642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825603 (or 825598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1634642460 is about 40430.7118413713. The cubic root of 1634642460 is about 1177.9881595292.

The spelling of 1634642460 in words is "one billion, six hundred thirty-four million, six hundred forty-two thousand, four hundred sixty".