54961680 has 160 divisors (see below), whose sum is σ = 190166400. Its totient is φ = 13049856.

The previous prime is 54961679. The next prime is 54961717. The reversal of 54961680 is 8616945.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77166 + ... + 77874.

It is an arithmetic number, because the mean of its divisors is an integer number (1188540).

Almost surely, 2^54961680 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 54961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95083200).

54961680 is an abundant number, since it is smaller than the sum of its proper divisors (135204720).

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

54961680 is a wasteful number, since it uses less digits than its factorization.

54961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 54961680 is about 7413.6145030612. The cubic root of 54961680 is about 380.2069048665.

The spelling of 54961680 in words is "fifty-four million, nine hundred sixty-one thousand, six hundred eighty".