26730624 has 64 divisors (see below), whose sum is σ = 71628480. Its totient is φ = 8832000.

The previous prime is 26730617. The next prime is 26730631. The reversal of 26730624 is 42603762.

It is an interprime number because it is at equal distance from previous prime (26730617) and next prime (26730631).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 26730591 and 26730600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57754 + ... + 58214.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 2^26730624 is an apocalyptic number.

26730624 is a gapful number since it is divisible by the number (24) 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 26730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814240).

26730624 is an abundant number, since it is smaller than the sum of its proper divisors (44897856).

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

26730624 is a wasteful number, since it uses less digits than its factorization.

26730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 26730624 is about 5170.1667284528. The cubic root of 26730624 is about 298.9989746537.

The spelling of 26730624 in words is "twenty-six million, seven hundred thirty thousand, six hundred twenty-four".