88264440 has 192 divisors, whose sum is σ = 323481600. Its totient is φ = 20678400.

The previous prime is 88264439. The next prime is 88264453. The reversal of 88264440 is 4446288.

88264440 is a `hidden beast` number, since 8 + 8 + 2 + 644 + 4 + 0 = 666.

It is a super-2 number, since 2×88264440² = 15581222737027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88264395 and 88264404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122401 + ... + 123119.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^88264440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

88264440 is an abundant number, since it is smaller than the sum of its proper divisors (235217160).

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

88264440 is a wasteful number, since it uses less digits than its factorization.

88264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 88264440 is about 9394.9156462419. The cubic root of 88264440 is about 445.2411099223.

The spelling of 88264440 in words is "eighty-eight million, two hundred sixty-four thousand, four hundred forty".