66099264 has 224 divisors, whose sum is σ = 231745536. Its totient is φ = 16097280.

The previous prime is 66099259. The next prime is 66099277. The reversal of 66099264 is 46299066.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×66099264² = 8738225402683392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251197 + ... + 251459.

Almost surely, 2^66099264 is an apocalyptic number.

66099264 is a gapful number since it is divisible by the number (64) 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 66099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

66099264 is an abundant number, since it is smaller than the sum of its proper divisors (165646272).

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

66099264 is a wasteful number, since it uses less digits than its factorization.

66099264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 66099264 is about 8130.1453861539. The cubic root of 66099264 is about 404.3265014095.

The spelling of 66099264 in words is "sixty-six million, ninety-nine thousand, two hundred sixty-four".