967151640 has 256 divisors, whose sum is σ = 3687505920. Its totient is φ = 197406720.

The previous prime is 967151629. The next prime is 967151683. The reversal of 967151640 is 46151769.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337092 + ... + 339948.

It is an arithmetic number, because the mean of its divisors is an integer number (14404320).

Almost surely, 2^967151640 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 967151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843752960).

967151640 is an abundant number, since it is smaller than the sum of its proper divisors (2720354280).

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

967151640 is a wasteful number, since it uses less digits than its factorization.

967151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 967151640 is about 31099.0617221806. The cubic root of 967151640 is about 988.9284191486.

The spelling of 967151640 in words is "nine hundred sixty-seven million, one hundred fifty-one thousand, six hundred forty".