675967152 has 240 divisors, whose sum is σ = 2142339072. Its totient is φ = 182891520.

The previous prime is 675967151. The next prime is 675967153. The reversal of 675967152 is 251769576.

It is an interprime number because it is at equal distance from previous prime (675967151) and next prime (675967153).

It is a super-2 number, since 2×675967152² = 913863181165982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (675967151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5322513 + ... + 5322639.

Almost surely, 2^675967152 is an apocalyptic number.

675967152 is a gapful number since it is divisible by the number (62) 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 675967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071169536).

675967152 is an abundant number, since it is smaller than the sum of its proper divisors (1466371920).

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

675967152 is a wasteful number, since it uses less digits than its factorization.

675967152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The square root of 675967152 is about 25999.3683000184. The cubic root of 675967152 is about 877.6240799857.

The spelling of 675967152 in words is "six hundred seventy-five million, nine hundred sixty-seven thousand, one hundred fifty-two".