734960640 has 176 divisors, whose sum is σ = 2393516160. Its totient is φ = 192430080.

The previous prime is 734960623. The next prime is 734960657. The reversal of 734960640 is 46069437.

It is an interprime number because it is at equal distance from previous prime (734960623) and next prime (734960657).

It is a super-3 number, since 3×734960640³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905835 + ... + 906645.

Almost surely, 2^734960640 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 734960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196758080).

734960640 is an abundant number, since it is smaller than the sum of its proper divisors (1658555520).

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

734960640 is a wasteful number, since it uses less digits than its factorization.

734960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 734960640 is about 27110.1575059976. The cubic root of 734960640 is about 902.4462830243.

The spelling of 734960640 in words is "seven hundred thirty-four million, nine hundred sixty thousand, six hundred forty".