967148640 has 192 divisors, whose sum is σ = 3563481600. Its totient is φ = 244311552.

The previous prime is 967148639. The next prime is 967148729. The reversal of 967148640 is 46841769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 76189 + ... + 87971.

It is an arithmetic number, because the mean of its divisors is an integer number (18559800).

Almost surely, 2^967148640 is an apocalyptic number.

967148640 is a gapful number since it is divisible by the number (90) 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 967148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781740800).

967148640 is an abundant number, since it is smaller than the sum of its proper divisors (2596332960).

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

967148640 is a wasteful number, since it uses less digits than its factorization.

967148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 967148640 is about 31099.0134891768. The cubic root of 967148640 is about 988.9273966311.

It can be divided in two parts, 9671 and 48640, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 967148640 in words is "nine hundred sixty-seven million, one hundred forty-eight thousand, six hundred forty".