1007950740 has 192 divisors, whose sum is σ = 3121348608. Its totient is φ = 241920000.

The previous prime is 1007950693. The next prime is 1007950753. The reversal of 1007950740 is 470597001.

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 63 ways as a sum of consecutive naturals, for example, 4015615 + ... + 4015865.

It is an arithmetic number, because the mean of its divisors is an integer number (16257024).

Almost surely, 2^1007950740 is an apocalyptic number.

1007950740 is a gapful number since it is divisible by the number (10) 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 1007950740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560674304).

1007950740 is an abundant number, since it is smaller than the sum of its proper divisors (2113397868).

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

1007950740 is a wasteful number, since it uses less digits than its factorization.

1007950740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 1007950740 is about 31748.2399512162. The cubic root of 1007950740 is about 1002.6432537205.

The spelling of 1007950740 in words is "one billion, seven million, nine hundred fifty thousand, seven hundred forty".