57966480 has 240 divisors, whose sum is σ = 229110336. Its totient is φ = 12948480.

The previous prime is 57966479. The next prime is 57966523. The reversal of 57966480 is 8466975.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×57966480² = 6720225607180800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 102679 + ... + 103241.

Almost surely, 2^57966480 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 57966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114555168).

57966480 is an abundant number, since it is smaller than the sum of its proper divisors (171143856).

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

57966480 is a wasteful number, since it uses less digits than its factorization.

57966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57966480 is about 7613.5720919947. The cubic root of 57966480 is about 387.0130797014.

The spelling of 57966480 in words is "fifty-seven million, nine hundred sixty-six thousand, four hundred eighty".