1107624961 has 9 divisors (see below), whose sum is σ = 1158677121. Its totient is φ = 1058735172.

The previous prime is 1107624943. The next prime is 1107624979. The reversal of 1107624961 is 1694267011.

The square root of 1107624961 is 33281.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1107624943) and next prime (1107624979).

It is not a de Polignac number, because 1107624961 - 2⁵ = 1107624929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1107624961.

It is not an unprimeable number, because it can be changed into a prime (1107624941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 764740 + ... + 766186.

Almost surely, 2^1107624961 is an apocalyptic number.

1107624961 is the 33281-st square number.

1107624961 is the 16641-st centered octagonal number.

It is an amenable number.

1107624961 is a deficient number, since it is larger than the sum of its proper divisors (51052160).

1107624961 is an frugal number, since it uses more digits than its factorization.

1107624961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 1107624961 is about 1034.6598058893.

The spelling of 1107624961 in words is "one billion, one hundred seven million, six hundred twenty-four thousand, nine hundred sixty-one".