623928960 has 128 divisors (see below), whose sum is σ = 2209809600. Its totient is φ = 166376448.

The previous prime is 623928959. The next prime is 623928979. The reversal of 623928960 is 69829326.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 774 + ... + 35333.

Almost surely, 2^623928960 is an apocalyptic number.

623928960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104904800).

623928960 is an abundant number, since it is smaller than the sum of its proper divisors (1585880640).

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

623928960 is a wasteful number, since it uses less digits than its factorization.

623928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36135 (or 36117 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 623928960 is about 24978.5700151150. The cubic root of 623928960 is about 854.4993067250.

The spelling of 623928960 in words is "six hundred twenty-three million, nine hundred twenty-eight thousand, nine hundred sixty".