54956640 has 48 divisors (see below), whose sum is σ = 173114928. Its totient is φ = 14654976.

The previous prime is 54956639. The next prime is 54956641. The reversal of 54956640 is 4665945.

It is an interprime number because it is at equal distance from previous prime (54956639) and next prime (54956641).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54956641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56767 + ... + 57726.

It is an arithmetic number, because the mean of its divisors is an integer number (3606561).

Almost surely, 2^54956640 is an apocalyptic number.

It is an amenable number.

54956640 is an abundant number, since it is smaller than the sum of its proper divisors (118158288).

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

54956640 is a wasteful number, since it uses less digits than its factorization.

54956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114511 (or 114503 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 54956640 is about 7413.2745801029. The cubic root of 54956640 is about 380.1952828214.

The spelling of 54956640 in words is "fifty-four million, nine hundred fifty-six thousand, six hundred forty".