59778048 has 176 divisors, whose sum is σ = 182756160. Its totient is φ = 17203200.

The previous prime is 59778023. The next prime is 59778053. The reversal of 59778048 is 84087795.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 59777988 and 59778006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979938 + ... + 979998.

Almost surely, 2^59778048 is an apocalyptic number.

59778048 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

59778048 is an abundant number, since it is smaller than the sum of its proper divisors (122978112).

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

59778048 is a wasteful number, since it uses less digits than its factorization.

59778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 59778048 is about 7731.6264783033. The cubic root of 59778048 is about 391.0034383739.

The spelling of 59778048 in words is "fifty-nine million, seven hundred seventy-eight thousand, forty-eight".