1201584610 has 32 divisors (see below), whose sum is σ = 2230405632. Its totient is φ = 465821760.

The previous prime is 1201584589. The next prime is 1201584661. The reversal of 1201584610 is 164851021.

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, 36000 + ... + 60820.

It is an arithmetic number, because the mean of its divisors is an integer number (69700176).

Almost surely, 2^1201584610 is an apocalyptic number.

1201584610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201584610 is a deficient number, since it is larger than the sum of its proper divisors (1028821022).

1201584610 is a wasteful number, since it uses less digits than its factorization.

1201584610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24978.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1201584610 is about 34663.8804809848. The cubic root of 1201584610 is about 1063.1261132764.

The spelling of 1201584610 in words is "one billion, two hundred one million, five hundred eighty-four thousand, six hundred ten".