1221464610 has 160 divisors (see below), whose sum is σ = 3402907200. Its totient is φ = 314202240.

The previous prime is 1221464593. The next prime is 1221464639. The reversal of 1221464610 is 164641221.

1221464610 = 4521² + 4522² + ... + 4579².

1221464610 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 646 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2914981 + ... + 2915399.

It is an arithmetic number, because the mean of its divisors is an integer number (21268170).

Almost surely, 2^1221464610 is an apocalyptic number.

1221464610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221464610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

1221464610 is an abundant number, since it is smaller than the sum of its proper divisors (2181442590).

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

1221464610 is a wasteful number, since it uses less digits than its factorization.

1221464610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1221464610 is about 34949.4579357105. The cubic root of 1221464610 is about 1068.9571491360.

It can be divided in two parts, 122146 and 4610, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 1221464610 in words is "one billion, two hundred twenty-one million, four hundred sixty-four thousand, six hundred ten".