679657440 has 576 divisors, whose sum is σ = 2829593088. Its totient is φ = 135475200.

The previous prime is 679657439. The next prime is 679657453. The reversal of 679657440 is 44756976.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 679657440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9572605 + ... + 9572675.

It is an arithmetic number, because the mean of its divisors is an integer number (4912488).

Almost surely, 2^679657440 is an apocalyptic number.

679657440 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 679657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414796544).

679657440 is an abundant number, since it is smaller than the sum of its proper divisors (2149935648).

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

679657440 is a wasteful number, since it uses less digits than its factorization.

679657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 679657440 is about 26070.2405052197. The cubic root of 679657440 is about 879.2182451215.

The spelling of 679657440 in words is "six hundred seventy-nine million, six hundred fifty-seven thousand, four hundred forty".