264542096 has 80 divisors (see below), whose sum is σ = 651291648. Its totient is φ = 101260800.

The previous prime is 264542077. The next prime is 264542099. The reversal of 264542096 is 690245462.

264542096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264542099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42206 + ... + 48066.

Almost surely, 2^264542096 is an apocalyptic number.

264542096 is a gapful number since it is divisible by the number (26) 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 264542096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325645824).

264542096 is an abundant number, since it is smaller than the sum of its proper divisors (386749552).

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

264542096 is a wasteful number, since it uses less digits than its factorization.

264542096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 264542096 is about 16264.7501056733. The cubic root of 264542096 is about 641.9456545710.

The spelling of 264542096 in words is "two hundred sixty-four million, five hundred forty-two thousand, ninety-six".