54768690 has 64 divisors (see below), whose sum is σ = 148158720. Its totient is φ = 14394240.

The previous prime is 54768689. The next prime is 54768691. The reversal of 54768690 is 9686745.

It is an interprime number because it is at equal distance from previous prime (54768689) and next prime (54768691).

It is a super-2 number, since 2×54768690² = 5999218808632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54768691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17742 + ... + 20598.

It is an arithmetic number, because the mean of its divisors is an integer number (2314980).

Almost surely, 2^54768690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54768690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74079360).

54768690 is an abundant number, since it is smaller than the sum of its proper divisors (93390030).

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

54768690 is a wasteful number, since it uses less digits than its factorization.

54768690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

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

The square root of 54768690 is about 7400.5871388695. The cubic root of 54768690 is about 379.7613691058.

The spelling of 54768690 in words is "fifty-four million, seven hundred sixty-eight thousand, six hundred ninety".