1177493040 has 120 divisors (see below), whose sum is σ = 3961554480. Its totient is φ = 313431552.

The previous prime is 1177492999. The next prime is 1177493081. The reversal of 1177493040 is 403947711.

It is an interprime number because it is at equal distance from previous prime (1177492999) and next prime (1177493081).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1177492986 and 1177493004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530974 + ... + 533186.

It is an arithmetic number, because the mean of its divisors is an integer number (33012954).

Almost surely, 2^1177493040 is an apocalyptic number.

1177493040 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 1177493040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980777240).

1177493040 is an abundant number, since it is smaller than the sum of its proper divisors (2784061440).

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

1177493040 is a wasteful number, since it uses less digits than its factorization.

1177493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1177493040 is about 34314.6184591932. The cubic root of 1177493040 is about 1055.9729245813.

The spelling of 1177493040 in words is "one billion, one hundred seventy-seven million, four hundred ninety-three thousand, forty".