54992960 has 112 divisors (see below), whose sum is σ = 151424640. Its totient is φ = 18800640.

The previous prime is 54992957. The next prime is 54992963. The reversal of 54992960 is 6929945.

It is an interprime number because it is at equal distance from previous prime (54992957) and next prime (54992963).

It is a super-3 number, since 3×54992960³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54992963) 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, 59381 + ... + 60299.

Almost surely, 2^54992960 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 54992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75712320).

54992960 is an abundant number, since it is smaller than the sum of its proper divisors (96431680).

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

54992960 is a wasteful number, since it uses less digits than its factorization.

54992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 54992960 is about 7415.7238352031. The cubic root of 54992960 is about 380.2790194533.

The spelling of 54992960 in words is "fifty-four million, nine hundred ninety-two thousand, nine hundred sixty".