577970016 has 96 divisors (see below), whose sum is σ = 1645233408. Its totient is φ = 176601600.

The previous prime is 577969979. The next prime is 577970017. The reversal of 577970016 is 610079775.

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

It is a self number, because there is not a number n which added to its sum of digits gives 577970016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577970017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186915 + ... + 189981.

It is an arithmetic number, because the mean of its divisors is an integer number (17137848).

Almost surely, 2^577970016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577970016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822616704).

577970016 is an abundant number, since it is smaller than the sum of its proper divisors (1067263392).

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

577970016 is a wasteful number, since it uses less digits than its factorization.

577970016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 577970016 is about 24041.0069672632. The cubic root of 577970016 is about 832.9810143021.

The spelling of 577970016 in words is "five hundred seventy-seven million, nine hundred seventy thousand, sixteen".