54077634 has 72 divisors (see below), whose sum is σ = 131463540. Its totient is φ = 16039296.

The previous prime is 54077603. The next prime is 54077651. The reversal of 54077634 is 43677045.

It can be written as a sum of positive squares in 6 ways, for example, as 99225 + 53978409 = 315^2 + 7347^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87912 + ... + 88524.

Almost surely, 2^54077634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54077634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65731770).

54077634 is an abundant number, since it is smaller than the sum of its proper divisors (77385906).

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

54077634 is a wasteful number, since it uses less digits than its factorization.

54077634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 54077634 is about 7353.7496557879. The cubic root of 54077634 is about 378.1573628836.

It can be divided in two parts, 5407 and 7634, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 54077634 in words is "fifty-four million, seventy-seven thousand, six hundred thirty-four".