678513120 has 96 divisors (see below), whose sum is σ = 2206310400. Its totient is φ = 175096320.

The previous prime is 678513107. The next prime is 678513137. The reversal of 678513120 is 21315876.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 7920 + ... + 37679.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 2^678513120 is an apocalyptic number.

678513120 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 678513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

678513120 is an abundant number, since it is smaller than the sum of its proper divisors (1527797280).

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

678513120 is a wasteful number, since it uses less digits than its factorization.

678513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45648 (or 45640 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 678513120 is about 26048.2843964819. The cubic root of 678513120 is about 878.7245296393.

Adding to 678513120 its reverse (21315876), we get a palindrome (699828996).

The spelling of 678513120 in words is "six hundred seventy-eight million, five hundred thirteen thousand, one hundred twenty".