8961624 has 64 divisors (see below), whose sum is σ = 28454400. Its totient is φ = 2560032.

The previous prime is 8961619. The next prime is 8961661. The reversal of 8961624 is 4261698.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8⁵ + 9⁶ + 6 + 1 + 6⁵ + 2²³ + 4⁵ .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 2^8961624 is an apocalyptic number.

8961624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8961624 is an abundant number, since it is smaller than the sum of its proper divisors (19492776).

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

8961624 is a wasteful number, since it uses less digits than its factorization.

8961624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5939 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8961624 is about 2993.5971672889. The cubic root of 8961624 is about 207.7123118434.

The spelling of 8961624 in words is "eight million, nine hundred sixty-one thousand, six hundred twenty-four".