967253808 has 50 divisors (see below), whose sum is σ = 2536598684. Its totient is φ = 317605728.

The previous prime is 967253789. The next prime is 967253809. The reversal of 967253808 is 808352769.

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 (967253809) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14436591 + ... + 14436657.

Almost surely, 2^967253808 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 967253808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268299342).

967253808 is an abundant number, since it is smaller than the sum of its proper divisors (1569344876).

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

967253808 is an frugal number, since it uses more digits than its factorization.

967253808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 967253808 is about 31100.7043007068. The cubic root of 967253808 is about 988.9632407411.

Multiplying 967253808 by its sum of digits (48), we get a square (46428182784 = 215472²).

967253808 divided by its sum of digits (48) gives a 4-th power (20151121 = 67⁴).

The spelling of 967253808 in words is "nine hundred sixty-seven million, two hundred fifty-three thousand, eight hundred eight".