54824640 has 224 divisors, whose sum is σ = 196632576. Its totient is φ = 12840960.

The previous prime is 54824611. The next prime is 54824669. The reversal of 54824640 is 4642845.

It is an interprime number because it is at equal distance from previous prime (54824611) and next prime (54824669).

It is a super-2 number, since 2×54824640² = 6011482302259200, which contains 22 as substring.

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, 286945 + ... + 287135.

It is an arithmetic number, because the mean of its divisors is an integer number (877824).

Almost surely, 2^54824640 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 54824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98316288).

54824640 is an abundant number, since it is smaller than the sum of its proper divisors (141807936).

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

54824640 is a wasteful number, since it uses less digits than its factorization.

54824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 54824640 is about 7404.3662794327. The cubic root of 54824640 is about 379.8906425854.

The spelling of 54824640 in words is "fifty-four million, eight hundred twenty-four thousand, six hundred forty".