1496960640 has 384 divisors, whose sum is σ = 5972728320. Its totient is φ = 338411520.

The previous prime is 1496960627. The next prime is 1496960701. The reversal of 1496960640 is 460696941.

1496960640 = T₁₆₁ + T₁₆₂ + ... + T₂₀₇₈.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5523705 + ... + 5523975.

It is an arithmetic number, because the mean of its divisors is an integer number (15553980).

Almost surely, 2^1496960640 is an apocalyptic number.

1496960640 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 1496960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986364160).

1496960640 is an abundant number, since it is smaller than the sum of its proper divisors (4475767680).

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

1496960640 is a wasteful number, since it uses less digits than its factorization.

1496960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1496960640 is about 38690.5755966489. The cubic root of 1496960640 is about 1143.9405645031.

The spelling of 1496960640 in words is "one billion, four hundred ninety-six million, nine hundred sixty thousand, six hundred forty".